90661756960 has 96 divisors (see below), whose sum is σ = 223591197312. Its totient is φ = 34673971200.

The previous prime is 90661756943. The next prime is 90661756973. The reversal of 90661756960 is 6965716609.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17113032 + ... + 17118328.

It is an arithmetic number, because the mean of its divisors is an integer number (2329074972).

Almost surely, 2^90661756960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90661756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111795598656).

90661756960 is an abundant number, since it is smaller than the sum of its proper divisors (132929440352).

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

90661756960 is a wasteful number, since it uses less digits than its factorization.

90661756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 90661756960 in words is "ninety billion, six hundred sixty-one million, seven hundred fifty-six thousand, nine hundred sixty".