90979660800 has 792 divisors, whose sum is σ = 392011963200. Its totient is φ = 19694223360.

The previous prime is 90979660799. The next prime is 90979660829. The reversal of 90979660800 is 806697909.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30641716 + ... + 30644684.

It is an arithmetic number, because the mean of its divisors is an integer number (494964600).

Almost surely, 2^90979660800 is an apocalyptic number.

90979660800 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 90979660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196005981600).

90979660800 is an abundant number, since it is smaller than the sum of its proper divisors (301032302400).

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

90979660800 is a wasteful number, since it uses less digits than its factorization.

90979660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 90979660800 in words is "ninety billion, nine hundred seventy-nine million, six hundred sixty thousand, eight hundred".