90899625600 has 1440 divisors, whose sum is σ = 414139882860. Its totient is φ = 19508428800.

The previous prime is 90899625587. The next prime is 90899625601. The reversal of 90899625600 is 652699809.

90899625600 is a `hidden beast` number, since 9 + 0 + 8 + 9 + 9 + 6 + 25 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16003262016 + 74896363584 = 126504^2 + 273672^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90899625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913390 + ... + 215913810.

Almost surely, 2^90899625600 is an apocalyptic number.

90899625600 is a gapful number since it is divisible by the number (90) 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 90899625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207069941430).

90899625600 is an abundant number, since it is smaller than the sum of its proper divisors (323240257260).

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

90899625600 is a wasteful number, since it uses less digits than its factorization.

90899625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 90899625600 in words is "ninety billion, eight hundred ninety-nine million, six hundred twenty-five thousand, six hundred".