90995564160 has 512 divisors, whose sum is σ = 330112800000. Its totient is φ = 23682170880.

The previous prime is 90995564129. The next prime is 90995564189. The reversal of 90995564160 is 6146559909.

90995564160 is a `hidden beast` number, since 90 + 9 + 95 + 56 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90995564097 and 90995564106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182355591 + ... + 182356089.

Almost surely, 2^90995564160 is an apocalyptic number.

90995564160 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 90995564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165056400000).

90995564160 is an abundant number, since it is smaller than the sum of its proper divisors (239117235840).

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

90995564160 is a wasteful number, since it uses less digits than its factorization.

90995564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 90995564160 in words is "ninety billion, nine hundred ninety-five million, five hundred sixty-four thousand, one hundred sixty".