99595979068800 has 192 divisors, whose sum is σ = 345309743851200. Its totient is φ = 25161089402880.

The previous prime is 99595979068787. The next prime is 99595979068811. The reversal of 99595979068800 is 886097959599.

99595979068800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272832894 + ... + 273197693.

It is an arithmetic number, because the mean of its divisors is an integer number (1798488249225).

Almost surely, 2^{99595979068800} is an apocalyptic number.

It is an amenable number.

99595979068800 is an abundant number, since it is smaller than the sum of its proper divisors (245713764782400).

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

99595979068800 is a wasteful number, since it uses less digits than its factorization.

99595979068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546030633 (or 546030616 counting only the distinct ones).

The product of its (nonzero) digits is 3968092800, while the sum is 84.

The spelling of 99595979068800 in words is "ninety-nine trillion, five hundred ninety-five billion, nine hundred seventy-nine million, sixty-eight thousand, eight hundred".