Exhaust-gas turbocharger having a shaft which has an axis of rotation, having a radial-axial turbine wheel which is arranged in a turbine housing and which is connected rotationally conjointly to the shaft, and having a bearing housing which is arranged adjacent to the turbine housing and which comprises a side wall facing toward the turbine housing, characterized in that - the radial-axial turbine wheel has a rear wall with a corner arranged at the outer end of the rear wall in a radial direction, wherein a top side of the turbine wheel runs obliquely outward in the radial direction proceeding from the corner of the rear wall, - a sub-region of that side wall of the bearing housing which faces toward the turbine housing forms a sub-region of the rear wall of the turbine housing, - that sub-region of the bearing housing which forms a sub-region of the rear wall of the turbine housing has two sub-portions (TA1, TA2), of which - the first sub-portion runs obliquely with respect to the axis of rotation of the shaft in the inflow direction of an exhaust-gas flow conducted into the turbine housing, - the second sub-portion runs in a radial direction with respect to the axis of rotation of the shaft and parallel to the rear wall of the turbine wheel, and - the two sub-portions (TA1, TA2) are connected to one another via an exhaust-gas flow separation edge of the bearing housing, - wherein the exhaust-gas flow separation edge has a corner which is connected to the second sub-portion via a flank, wherein the first sub-portion and the flank enclose a corner angle (α) and a curved transition region is provided between the second sub-portion and the flank, - wherein the top side of the turbine wheel has a spacing (c) to the corner of the exhaust-gas flow separation edge in the inflow direction of the exhaust-gas flow and the flank runs parallel to the top side of the turbine wheel. - the radial-axial turbine wheel has a rear wall with a corner arranged at the outer end of the rear wall in a radial direction, wherein a top side of the turbine wheel runs obliquely outward in the radial direction proceeding from the corner of the rear wall, - a sub-region of that side wall of the bearing housing which faces toward the turbine housing forms a sub-region of the rear wall of the turbine housing, - that sub-region of the bearing housing which forms a sub-region of the rear wall of the turbine housing has two sub-portions (TA1, TA2), of which - the first sub-portion runs obliquely with respect to the axis of rotation of the shaft in the inflow direction of an exhaust-gas flow conducted into the turbine housing, - the second sub-portion runs in a radial direction with respect to the axis of rotation of the shaft and parallel to the rear wall of the turbine wheel, and - the two sub-portions (TA1, TA2) are connected to one another via an exhaust-gas flow separation edge of the bearing housing, - wherein the exhaust-gas flow separation edge has a corner which is connected to the second sub-portion via a flank, wherein the first sub-portion and the flank enclose a corner angle (α) and a curved transition region is provided between the second sub-portion and the flank, - wherein the top side of the turbine wheel has a spacing (c) to the corner of the exhaust-gas flow separation edge in the inflow direction of the exhaust-gas flow and the flank runs parallel to the top side of the turbine wheel.