89937872000 has 64 divisors (see below), whose sum is σ = 223608074040. Its totient is φ = 35975142400.

The previous prime is 89937871967. The next prime is 89937872039. The reversal of 89937872000 is 27873998.

It can be written as a sum of positive squares in 4 ways, for example, as 9468068416 + 80469803584 = 97304^2 + 283672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2794559 + ... + 2826558.

Almost surely, 2^89937872000 is an apocalyptic number.

89937872000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89937872000 is an abundant number, since it is smaller than the sum of its proper divisors (133670202040).

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

89937872000 is an equidigital number, since it uses as much as digits as its factorization.

89937872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621146 (or 5621124 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 89937872000 in words is "eighty-nine billion, nine hundred thirty-seven million, eight hundred seventy-two thousand".