90115660800 has 1188 divisors, whose sum is σ = 373539884328. Its totient is φ = 20570112000.

The previous prime is 90115660781. The next prime is 90115660841. The reversal of 90115660800 is 806651109.

90115660800 is a `hidden beast` number, since 9 + 0 + 11 + 566 + 0 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2435558382 + ... + 2435558418.

Almost surely, 2^90115660800 is an apocalyptic number.

90115660800 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 90115660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186769942164).

90115660800 is an abundant number, since it is smaller than the sum of its proper divisors (283424223528).

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

90115660800 is a wasteful number, since it uses less digits than its factorization.

90115660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 90115660800 in words is "ninety billion, one hundred fifteen million, six hundred sixty thousand, eight hundred".