90932495580 has 144 divisors (see below), whose sum is σ = 291478430880. Its totient is φ = 22882811904.

The previous prime is 90932495569. The next prime is 90932495597. The reversal of 90932495580 is 8559423909.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827212 + ... + 930668.

It is an arithmetic number, because the mean of its divisors is an integer number (2024155770).

Almost surely, 2^90932495580 is an apocalyptic number.

90932495580 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 90932495580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145739215440).

90932495580 is an abundant number, since it is smaller than the sum of its proper divisors (200545935300).

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

90932495580 is a wasteful number, since it uses less digits than its factorization.

90932495580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103748 (or 103743 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 90932495580 in words is "ninety billion, nine hundred thirty-two million, four hundred ninety-five thousand, five hundred eighty".