90877516800 has 1584 divisors, whose sum is σ = 388905108480. Its totient is φ = 18579456000.

The previous prime is 90877516757. The next prime is 90877516931. The reversal of 90877516800 is 861577809.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2216524780 + ... + 2216524820.

Almost surely, 2^90877516800 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 90877516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194452554240).

90877516800 is an abundant number, since it is smaller than the sum of its proper divisors (298027591680).

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

90877516800 is a wasteful number, since it uses less digits than its factorization.

90877516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 90877516800 in words is "ninety billion, eight hundred seventy-seven million, five hundred sixteen thousand, eight hundred".