We theoretically investigated the stability of highly charged C60z+ cations produced with an ultrashort intense laser pulse of λ∼1800nm. We first review the results of our theoretical investigation of the stability of C60z+ cations and report that C60z+ cations up to z=12 can be produced as a stable or quasistable (μs-order lifetime) intact parent cation. We next present the results of simulation as to how much vibrational energy is acquired by C 60 or C60z+ through the interaction with an ultrashort intense pulse of λ=1800nm. This type of simulation was carried out by incorporating an ab initio classical molecular dynamics method into the framework of the time-dependent adiabatic state approach. The results indicate that large-amplitude vibration with energy of >20eV is induced in the h g (1) mode of C60z+. C 60 or C60z+ is mostly elongated along the field polarization direction, of which the motion can be described by using the time-dependent (TD) potential along the h g (1) coordinate. We also solved the corresponding TD Schrödinger equation to propagate the vibrational wavepacket on the TD potential. We found that the acquired vibrational energy is maximized at T p ∼T vib /2, where T p is the pulse length and T vib is the vibrational period of the h g (1) mode. We show how the vibrational energy deposited in C 60 can be controlled by changing the pulse separation of a train of three pulses. We finally discuss the structure and dissociation of C20z+.