89808994800 has 720 divisors, whose sum is σ = 378651836160. Its totient is φ = 19254620160.

The previous prime is 89808994727. The next prime is 89808994837. The reversal of 89808994800 is 849980898.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51230724 + ... + 51232476.

It is an arithmetic number, because the mean of its divisors is an integer number (525905328).

Almost surely, 2^89808994800 is an apocalyptic number.

89808994800 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 89808994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189325918080).

89808994800 is an abundant number, since it is smaller than the sum of its proper divisors (288842841360).

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

89808994800 is a wasteful number, since it uses less digits than its factorization.

89808994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 89808994800 in words is "eighty-nine billion, eight hundred eight million, nine hundred ninety-four thousand, eight hundred".