88864561920 has 288 divisors, whose sum is σ = 292207362048. Its totient is φ = 23004463104.

The previous prime is 88864561909. The next prime is 88864561939. The reversal of 88864561920 is 2916546888.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22919022 + ... + 22922898.

It is an arithmetic number, because the mean of its divisors is an integer number (1014608896).

Almost surely, 2^88864561920 is an apocalyptic number.

88864561920 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 88864561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146103681024).

88864561920 is an abundant number, since it is smaller than the sum of its proper divisors (203342800128).

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

88864561920 is a wasteful number, since it uses less digits than its factorization.

88864561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 88864561920 in words is "eighty-eight billion, eight hundred sixty-four million, five hundred sixty-one thousand, nine hundred twenty".