89231284800 has 840 divisors, whose sum is σ = 384150412800. Its totient is φ = 19889971200.

The previous prime is 89231284799. The next prime is 89231284823. The reversal of 89231284800 is 848213298.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×89231284800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37194001 + ... + 37196399.

It is an arithmetic number, because the mean of its divisors is an integer number (457321920).

Almost surely, 2^89231284800 is an apocalyptic number.

89231284800 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 89231284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192075206400).

89231284800 is an abundant number, since it is smaller than the sum of its proper divisors (294919128000).

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

89231284800 is a wasteful number, since it uses less digits than its factorization.

89231284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 89231284800 in words is "eighty-nine billion, two hundred thirty-one million, two hundred eighty-four thousand, eight hundred".