88791904320 has 336 divisors, whose sum is σ = 328661255808. Its totient is φ = 20250746880.

The previous prime is 88791904273. The next prime is 88791904379. The reversal of 88791904320 is 2340919788.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24506029 + ... + 24509651.

Almost surely, 2^88791904320 is an apocalyptic number.

88791904320 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 88791904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164330627904).

88791904320 is an abundant number, since it is smaller than the sum of its proper divisors (239869351488).

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

88791904320 is a wasteful number, since it uses less digits than its factorization.

88791904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 88791904320 in words is "eighty-eight billion, seven hundred ninety-one million, nine hundred four thousand, three hundred twenty".