90737947520 has 256 divisors, whose sum is σ = 245513592000. Its totient is φ = 31776768000.

The previous prime is 90737947459. The next prime is 90737947543. The reversal of 90737947520 is 2574973709.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26306756 + ... + 26310204.

Almost surely, 2^90737947520 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 90737947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122756796000).

90737947520 is an abundant number, since it is smaller than the sum of its proper divisors (154775644480).

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

90737947520 is a wasteful number, since it uses less digits than its factorization.

90737947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 53.

The spelling of 90737947520 in words is "ninety billion, seven hundred thirty-seven million, nine hundred forty-seven thousand, five hundred twenty".