88855812864 has 1080 divisors, whose sum is σ = 343829824800. Its totient is φ = 22678548480.

The previous prime is 88855812847. The next prime is 88855812901. The reversal of 88855812864 is 46821855888.

88855812864 is a `hidden beast` number, since 8 + 8 + 8 + 558 + 12 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2866316529 + ... + 2866316559.

Almost surely, 2^88855812864 is an apocalyptic number.

88855812864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88855812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171914912400).

88855812864 is an abundant number, since it is smaller than the sum of its proper divisors (254974011936).

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

88855812864 is an equidigital number, since it uses as much as digits as its factorization.

88855812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its digits is 39321600, while the sum is 63.

The spelling of 88855812864 in words is "eighty-eight billion, eight hundred fifty-five million, eight hundred twelve thousand, eight hundred sixty-four".