90979958160 has 1680 divisors, whose sum is σ = 415313418240. Its totient is φ = 18341406720.

The previous prime is 90979958143. The next prime is 90979958219. The reversal of 90979958160 is 6185997909.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1151645001 + ... + 1151645079.

It is an arithmetic number, because the mean of its divisors is an integer number (247210368).

Almost surely, 2^90979958160 is an apocalyptic number.

90979958160 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 90979958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207656709120).

90979958160 is an abundant number, since it is smaller than the sum of its proper divisors (324333460080).

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

90979958160 is a wasteful number, since it uses less digits than its factorization.

90979958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 90979958160 in words is "ninety billion, nine hundred seventy-nine million, nine hundred fifty-eight thousand, one hundred sixty".