89557372800 has 576 divisors, whose sum is σ = 373742328960. Its totient is φ = 19992268800.

The previous prime is 89557372789. The next prime is 89557372823. The reversal of 89557372800 is 827375598.

89557372800 is a `hidden beast` number, since 8 + 9 + 557 + 3 + 7 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8663635 + ... + 8673965.

It is an arithmetic number, because the mean of its divisors is an integer number (648858210).

Almost surely, 2^89557372800 is an apocalyptic number.

89557372800 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 89557372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186871164480).

89557372800 is an abundant number, since it is smaller than the sum of its proper divisors (284184956160).

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

89557372800 is a wasteful number, since it uses less digits than its factorization.

89557372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 89557372800 in words is "eighty-nine billion, five hundred fifty-seven million, three hundred seventy-two thousand, eight hundred".