90815060044800 has 1980 divisors, whose sum is σ = 416165294485776. Its totient is φ = 19160462131200.

The previous prime is 90815060044789. The next prime is 90815060044847. The reversal of 90815060044800 is 844006051809.

90815060044800 is a `hidden beast` number, since 90 + 81 + 5 + 0 + 6 + 0 + 0 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2453050290 + ... + 2453087310.

Almost surely, 2^{90815060044800} is an apocalyptic number.

90815060044800 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 90815060044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208082647242888).

90815060044800 is an abundant number, since it is smaller than the sum of its proper divisors (325350234440976).

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

90815060044800 is a wasteful number, since it uses less digits than its factorization.

90815060044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37096 (or 37051 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 90815060044800 in words is "ninety trillion, eight hundred fifteen billion, sixty million, forty-four thousand, eight hundred".