89056800000 has 1728 divisors, whose sum is σ = 408773836800. Its totient is φ = 18662400000.

The previous prime is 89056799987. The next prime is 89056800011. The reversal of 89056800000 is 865098.

89056800000 is a `hidden beast` number, since 8 + 90 + 568 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×89056800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2872799985 + ... + 2872800015.

Almost surely, 2^89056800000 is an apocalyptic number.

89056800000 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 89056800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204386918400).

89056800000 is an abundant number, since it is smaller than the sum of its proper divisors (319717036800).

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

89056800000 is an equidigital number, since it uses as much as digits as its factorization.

89056800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 89056800000 in words is "eighty-nine billion, fifty-six million, eight hundred thousand".