  In general the gravitino mass and/or the soft supersymmetry breaking masses
in the observable sector can be much larger than the TeV scale. Depending on
the relation between the masses, new important channels for gravitino
production in the early Universe can arise. Gravitinos with a mass above 50 TeV
decay before big bang nucleosynthesis, which leads to relaxation of the well
known bound on the reheating temperature $T_{\rm R} \leq 10^{10}$ GeV. However,
if the heavy gravitinos are produced abundantly in the early Universe, their
decay can alter the abundance of the lightest supersymmetric particle.
Moreover, they may dominate the energy density of the Universe. Their decay
will in this case increase entropy and dilute already created baryon asymmetry
and dark matter. Such considerations put new constraints on gravitino and
sfermion masses, and the reheating temperature. In this paper we examine
various cosmological consequences of supermassive gravitinos. We discuss
advnatges and disadvantages of a large reheating temperature in connection with
thermal leptogenesis, and find that large parts of the parameter space are
opened up for the lightest right-handed (s)neutrino mass. We also discuss the
viability of Affleck-Dine baryogenesis under the constraints from gravitino
decay, and gravitino production from the decay of Q-balls.
