90992944800 has 108 divisors (see below), whose sum is σ = 320863896990. Its totient is φ = 24264783360.

The previous prime is 90992944781. The next prime is 90992944919. The reversal of 90992944800 is 844929909.

90992944800 is a `hidden beast` number, since 90 + 99 + 29 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42615822096 + 48377122704 = 206436^2 + 219948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6311755 + ... + 6326154.

Almost surely, 2^90992944800 is an apocalyptic number.

90992944800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90992944800 is an abundant number, since it is smaller than the sum of its proper divisors (229870952190).

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

90992944800 is a wasteful number, since it uses less digits than its factorization.

90992944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637935 (or 12637919 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 90992944800 in words is "ninety billion, nine hundred ninety-two million, nine hundred forty-four thousand, eight hundred".