89164416800 has 72 divisors (see below), whose sum is σ = 217719408816. Its totient is φ = 35658103040.

The previous prime is 89164416799. The next prime is 89164416911. The reversal of 89164416800 is 861446198.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5049587 + ... + 5067213.

It is an arithmetic number, because the mean of its divisors is an integer number (3023880678).

Almost surely, 2^89164416800 is an apocalyptic number.

89164416800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89164416800 is an abundant number, since it is smaller than the sum of its proper divisors (128554992016).

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

89164416800 is a wasteful number, since it uses less digits than its factorization.

89164416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23970 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 89164416800 in words is "eighty-nine billion, one hundred sixty-four million, four hundred sixteen thousand, eight hundred".