A composition having covering power comprised between 25 and 100, notably between 25 and 90 and intended to be applied on the skin, the lips, the skin appendages, this composition including particles of at least one composite pigment, these particles including: - an inorganic core, - at least one at least partial coating of at least one organic coloring substance in a quantity sufficient for the saturation C* of the composition, as defined in the description, to be comprised between 30 and 100, characterized by the fact that: - the inorganic core has a mean size comprised between 1 nm and 100 nm, a refractive index greater than or equal to 2 and includes titanium dioxide, - the organic coloring substance is selected from carmine cochineal, an organic pigment of an azo, anthraquinone, indigo, xanthene, pyrene, quinoline, triphenylmethane or fluorane dye, an organic lake, or an insoluble sodium, potassium, calcium, barium, aluminum, zirconium, strontium or titanium salt, of an acid dye, - the saturation C* of the composite pigment, as defined in the description, being greater than or equal to 30, - the proportion of the organic coloring substance exceeding 30% based on the total weight of the composite pigment, - the covering power being measured in the following way: the composition is applied with a thickness of 30 μm over an Erichsen type 24/5 contrast card, having a black background and a white background, and the trichromatic coordinates (X, Y, Z) are measured by means of a colorimeter CR-300; similar applications are made on two other contrast cards and three measurements are conducted on each card, the mean corresponding to these nine measurements is then calculated, the covering power is equal to 100 X Yn/Yb wherein Yn is the mean value of Y on a black background and Yb is the mean value of Y on a white background, the composite pigment content in the composition being comprised between 0.1% and 30% by weight based on the total weight of the composition. - an inorganic core, - at least one at least partial coating of at least one organic coloring substance in a quantity sufficient for the saturation C* of the composition, as defined in the description, to be comprised between 30 and 100, characterized by the fact that: - the inorganic core has a mean size comprised between 1 nm and 100 nm, a refractive index greater than or equal to 2 and includes titanium dioxide, - the organic coloring substance is selected from carmine cochineal, an organic pigment of an azo, anthraquinone, indigo, xanthene, pyrene, quinoline, triphenylmethane or fluorane dye, an organic lake, or an insoluble sodium, potassium, calcium, barium, aluminum, zirconium, strontium or titanium salt, of an acid dye, - the saturation C* of the composite pigment, as defined in the description, being greater than or equal to 30, - the proportion of the organic coloring substance exceeding 30% based on the total weight of the composite pigment, - the covering power being measured in the following way: the composition is applied with a thickness of 30 μm over an Erichsen type 24/5 contrast card, having a black background and a white background, and the trichromatic coordinates (X, Y, Z) are measured by means of a colorimeter CR-300; similar applications are made on two other contrast cards and three measurements are conducted on each card, the mean corresponding to these nine measurements is then calculated, the covering power is equal to 100 X Yn/Yb wherein Yn is the mean value of Y on a black background and Yb is the mean value of Y on a white background, the composition is applied with a thickness of 30 μm over an Erichsen type 24/5 contrast card, having a black background and a white background, and the trichromatic coordinates (X, Y, Z) are measured by means of a colorimeter CR-300; similar applications are made on two other contrast cards and three measurements are conducted on each card, the mean corresponding to these nine measurements is then calculated, the covering power is equal to 100 X Yn/Yb wherein Yn is the mean value of Y on a black background and Yb is the mean value of Y on a white background,