88912090400 has 144 divisors (see below), whose sum is σ = 250019997696. Its totient is φ = 30243870720.

The previous prime is 88912090391. The next prime is 88912090417. The reversal of 88912090400 is 409021988.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648692 + ... + 773708.

It is an arithmetic number, because the mean of its divisors is an integer number (1736249984).

Almost surely, 2^88912090400 is an apocalyptic number.

88912090400 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 88912090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125009998848).

88912090400 is an abundant number, since it is smaller than the sum of its proper divisors (161107907296).

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

88912090400 is a wasteful number, since it uses less digits than its factorization.

88912090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125171 (or 125158 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 88912090400 in words is "eighty-eight billion, nine hundred twelve million, ninety thousand, four hundred".