89090625600 has 672 divisors, whose sum is σ = 334306103040. Its totient is φ = 23070228480.

The previous prime is 89090625563. The next prime is 89090625607. The reversal of 89090625600 is 652609098.

89090625600 is a `hidden beast` number, since 89 + 0 + 9 + 0 + 6 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89090625607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382363084 + ... + 382363316.

It is an arithmetic number, because the mean of its divisors is an integer number (497479320).

Almost surely, 2^89090625600 is an apocalyptic number.

89090625600 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 89090625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167153051520).

89090625600 is an abundant number, since it is smaller than the sum of its proper divisors (245215477440).

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

89090625600 is a wasteful number, since it uses less digits than its factorization.

89090625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 89090625600 in words is "eighty-nine billion, ninety million, six hundred twenty-five thousand, six hundred".