90932509824 has 128 divisors (see below), whose sum is σ = 260602802880. Its totient is φ = 27927244800.

The previous prime is 90932509819. The next prime is 90932509847. The reversal of 90932509824 is 42890523909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2713974 + ... + 2747274.

Almost surely, 2^90932509824 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 90932509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130301401440).

90932509824 is an abundant number, since it is smaller than the sum of its proper divisors (169670293056).

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

90932509824 is a wasteful number, since it uses less digits than its factorization.

90932509824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33878 (or 33866 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 90932509824 in words is "ninety billion, nine hundred thirty-two million, five hundred nine thousand, eight hundred twenty-four".