88257964032 has 288 divisors, whose sum is σ = 303996551040. Its totient is φ = 24119377920.

The previous prime is 88257964027. The next prime is 88257964037. The reversal of 88257964032 is 23046975288.

88257964032 is a `hidden beast` number, since 8 + 8 + 2 + 579 + 64 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (88257964027) and next prime (88257964037).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 88257964032.

It is not an unprimeable number, because it can be changed into a prime (88257964037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2952682 + ... + 2982422.

It is an arithmetic number, because the mean of its divisors is an integer number (1055543580).

Almost surely, 2^88257964032 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 88257964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151998275520).

88257964032 is an abundant number, since it is smaller than the sum of its proper divisors (215738587008).

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

88257964032 is a wasteful number, since it uses less digits than its factorization.

88257964032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29799 (or 29776 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 88257964032 in words is "eighty-eight billion, two hundred fifty-seven million, nine hundred sixty-four thousand, thirty-two".