89731204800 has 336 divisors, whose sum is σ = 300967335072. Its totient is φ = 23397171200.

The previous prime is 89731204781. The next prime is 89731204817. The reversal of 89731204800 is 840213798.

It is a super-2 number, since 2×89731204800² (a number of 23 digits) contains 22 as substring.

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, 132542062 + ... + 132542738.

Almost surely, 2^89731204800 is an apocalyptic number.

89731204800 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 89731204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150483667536).

89731204800 is an abundant number, since it is smaller than the sum of its proper divisors (211236130272).

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

89731204800 is a wasteful number, since it uses less digits than its factorization.

89731204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 89731204800 in words is "eighty-nine billion, seven hundred thirty-one million, two hundred four thousand, eight hundred".