88979655600 has 240 divisors, whose sum is σ = 345493184640. Its totient is φ = 21570796800.

The previous prime is 88979655581. The next prime is 88979655629. The reversal of 88979655600 is 655697988.

88979655600 is a `hidden beast` number, since 8 + 8 + 9 + 7 + 9 + 65 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×88979655600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255694 + ... + 493293.

It is an arithmetic number, because the mean of its divisors is an integer number (1439554936).

Almost surely, 2^88979655600 is an apocalyptic number.

88979655600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88979655600 is an abundant number, since it is smaller than the sum of its proper divisors (256513529040).

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

88979655600 is a wasteful number, since it uses less digits than its factorization.

88979655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749025 (or 749008 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 88979655600 in words is "eighty-eight billion, nine hundred seventy-nine million, six hundred fifty-five thousand, six hundred".