90807874560 has 1056 divisors, whose sum is σ = 370008711072. Its totient is φ = 20384317440.

The previous prime is 90807874559. The next prime is 90807874583. The reversal of 90807874560 is 6547870809.

90807874560 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 7 + 8 + 74 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2070614016 + 88737260544 = 45504^2 + 297888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90807874497 and 90807874506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376796040 + ... + 376796280.

It is an arithmetic number, because the mean of its divisors is an integer number (350387037).

Almost surely, 2^90807874560 is an apocalyptic number.

90807874560 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 90807874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185004355536).

90807874560 is an abundant number, since it is smaller than the sum of its proper divisors (279200836512).

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

90807874560 is a wasteful number, since it uses less digits than its factorization.

90807874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 90807874560 in words is "ninety billion, eight hundred seven million, eight hundred seventy-four thousand, five hundred sixty".