90877943520 has 960 divisors, whose sum is σ = 397600068096. Its totient is φ = 19035648000.

The previous prime is 90877943503. The next prime is 90877943567. The reversal of 90877943520 is 2534977809.

90877943520 is a `hidden beast` number, since 9 + 0 + 8 + 7 + 79 + 43 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 296019207 + ... + 296019513.

Almost surely, 2^90877943520 is an apocalyptic number.

90877943520 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 90877943520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198800034048).

90877943520 is an abundant number, since it is smaller than the sum of its proper divisors (306722124576).

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

90877943520 is a wasteful number, since it uses less digits than its factorization.

90877943520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 90877943520 in words is "ninety billion, eight hundred seventy-seven million, nine hundred forty-three thousand, five hundred twenty".