88057456128 has 200 divisors, whose sum is σ = 263476571688. Its totient is φ = 29280116736.

The previous prime is 88057456117. The next prime is 88057456189. The reversal of 88057456128 is 82165475088.

88057456128 is a `hidden beast` number, since 8 + 8 + 0 + 5 + 74 + 561 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18369700 + ... + 18374492.

Almost surely, 2^88057456128 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 88057456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131738285844).

88057456128 is an abundant number, since it is smaller than the sum of its proper divisors (175419115560).

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

88057456128 is an equidigital number, since it uses as much as digits as its factorization.

88057456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 88057456128 in words is "eighty-eight billion, fifty-seven million, four hundred fifty-six thousand, one hundred twenty-eight".