88013512400 has 180 divisors, whose sum is σ = 233744414400. Its totient is φ = 31822982400.

The previous prime is 88013512399. The next prime is 88013512417. The reversal of 88013512400 is 421531088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8658521 + ... + 8668679.

It is an arithmetic number, because the mean of its divisors is an integer number (1298580080).

Almost surely, 2^88013512400 is an apocalyptic number.

88013512400 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 88013512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116872207200).

88013512400 is an abundant number, since it is smaller than the sum of its proper divisors (145730902000).

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

88013512400 is a wasteful number, since it uses less digits than its factorization.

88013512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10378 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 88013512400 in words is "eighty-eight billion, thirteen million, five hundred twelve thousand, four hundred".