Theoretical results on the ground-state properties of the hypothetical
spherical superheavy atomic nuclei are presented and discussed. Even-
even isotopes of elements Z = 104 - 120 are considered. Certain conclu
sions are also drawn for odd-A and odd-odd superheavy nuclei. Results
obtained earlier for even-even deformed superheavy nuclei with Z = 104
- 114 are given for completeness. Equilibrium deformation, nuclear ma
ss, alpha-decay energy, alpha-decay half-life, dynamical fission barri
er, as well as spontaneous-fission half-life are considered. beta-stab
ility of superheavy nuclei is also discussed. The calculations are bas
ed on the macroscopic-microscopic model. A multidimensional deformatio
n space describing axially symmetric nuclear shapes is used in the ana
lysis of masses and decay properties of superheavy nuclei. We determin
ed the boundaries of the region of superheavy nuclei which are expecte
d to live long enough to be detected after the synthesis in a present-
day experimental setup.