89161564204800 has 1296 divisors, whose sum is σ = 339905596212000. Its totient is φ = 22297759580160.

The previous prime is 89161564204673. The next prime is 89161564204819. The reversal of 89161564204800 is 840246516198.

89161564204800 is a `hidden beast` number, since 8 + 9 + 1 + 6 + 156 + 4 + 2 + 0 + 480 + 0 = 666.

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, 144041298891 + ... + 144041299509.

Almost surely, 2^{89161564204800} is an apocalyptic number.

89161564204800 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 89161564204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169952798106000).

89161564204800 is an abundant number, since it is smaller than the sum of its proper divisors (250744032007200).

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

89161564204800 is a wasteful number, since it uses less digits than its factorization.

89161564204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 89161564204800 in words is "eighty-nine trillion, one hundred sixty-one billion, five hundred sixty-four million, two hundred four thousand, eight hundred".