88057432320 has 576 divisors, whose sum is σ = 349872493824. Its totient is φ = 18544066560.

The previous prime is 88057432279. The next prime is 88057432339. The reversal of 88057432320 is 2323475088.

It is a super-2 number, since 2×88057432320² (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 63 ways as a sum of consecutive naturals, for example, 9330324 + ... + 9339756.

It is an arithmetic number, because the mean of its divisors is an integer number (607417524).

Almost surely, 2^88057432320 is an apocalyptic number.

88057432320 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 88057432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174936246912).

88057432320 is an abundant number, since it is smaller than the sum of its proper divisors (261815061504).

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

88057432320 is a wasteful number, since it uses less digits than its factorization.

88057432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 88057432320 in words is "eighty-eight billion, fifty-seven million, four hundred thirty-two thousand, three hundred twenty".