96939000883200 has 2592 divisors, whose sum is σ = 406038306885120. Its totient is φ = 20326750617600.

The previous prime is 96939000883181. The next prime is 96939000883247. The reversal of 96939000883200 is 238800093969.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89180313057 + ... + 89180314143.

It is an arithmetic number, because the mean of its divisors is an integer number (156650581360).

Almost surely, 2^{96939000883200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96939000883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203019153442560).

96939000883200 is an abundant number, since it is smaller than the sum of its proper divisors (309099306001920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96939000883200 is a wasteful number, since it uses less digits than its factorization.

96939000883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 96939000883200 in words is "ninety-six trillion, nine hundred thirty-nine billion, eight hundred eighty-three thousand, two hundred".