  We study the electronic structure and band topology of fully relaxed twisted
multi-layer graphene (TMLG). Isolated flat bands emerge in TMLG with the number
of layers [$M+N$ with $M$ the layer number of the bottom few-layer graphene
(FLG)] up to 10 and with various stacking orders, and most of them are on the
hole side. The touched bands of FLGs around the Fermi level are split by the
moir\'{e} coupling through the electron-hole asymmetry in low-energy bands of
FLGs and by the vertical hopping between next-nearest layers. The full
structural relaxation leads to global gaps that completely isolate a flat band.
For TMLG with given $M$ and $N$, the highest magnitude of Chern numbers ($|C|$)
of the separable flat bands reaches $M+N-1$ and can be hosted by certain
isolated bands. The $|C|=9$ occurs in the isolated flat valence band of several
configurations with 10 layers. Such high $|C|$ originates from the lifting of
the band-state degeneracy in the weak regime of moir\'{e} coupling or from the
topological phase transitions induced by the strong moir\'{e} coupling.
Moreover, large orbital magnetic moments arise in isolated flat bands with high
$|C|$ and depend on the structural configurations of TMLG.
