88057012752000 has 768 divisors, whose sum is σ = 320475960604800. Its totient is φ = 23168716800000.

The previous prime is 88057012751987. The next prime is 88057012752031. The reversal of 88057012752000 is 25721075088.

88057012752000 is a `hidden beast` number, since 8 + 8 + 0 + 570 + 1 + 2 + 75 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×88057012752000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3867396616 + ... + 3867419384.

Almost surely, 2^{88057012752000} is an apocalyptic number.

88057012752000 is a gapful number since it is divisible by the number (80) 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 88057012752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160237980302400).

88057012752000 is an abundant number, since it is smaller than the sum of its proper divisors (232418947852800).

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

88057012752000 is a wasteful number, since it uses less digits than its factorization.

88057012752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162 (or 23137 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 88057012752000 in words is "eighty-eight trillion, fifty-seven billion, twelve million, seven hundred fifty-two thousand".