90986938560 has 672 divisors, whose sum is σ = 389519769600. Its totient is φ = 19020718080.

The previous prime is 90986938519. The next prime is 90986938561. The reversal of 90986938560 is 6583968909.

90986938560 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 69 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (90986938561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11104065 + ... + 11112255.

Almost surely, 2^90986938560 is an apocalyptic number.

90986938560 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 90986938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194759884800).

90986938560 is an abundant number, since it is smaller than the sum of its proper divisors (298532831040).

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

90986938560 is a wasteful number, since it uses less digits than its factorization.

90986938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 90986938560 in words is "ninety billion, nine hundred eighty-six million, nine hundred thirty-eight thousand, five hundred sixty".