89397072000 has 192 divisors, whose sum is σ = 321047751960. Its totient is φ = 23839180800.

The previous prime is 89397071989. The next prime is 89397072029. The reversal of 89397072000 is 27079398.

It can be written as a sum of positive squares in 4 ways, for example, as 56328376896 + 33068695104 = 237336^2 + 181848^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166407 + ... + 454406.

Almost surely, 2^89397072000 is an apocalyptic number.

89397072000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89397072000 is an abundant number, since it is smaller than the sum of its proper divisors (231650679960).

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

89397072000 is a wasteful number, since it uses less digits than its factorization.

89397072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620848 (or 620823 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 89397072000 in words is "eighty-nine billion, three hundred ninety-seven million, seventy-two thousand".