90767513520 has 80 divisors (see below), whose sum is σ = 312643665120. Its totient is φ = 24204669696.

The previous prime is 90767513503. The next prime is 90767513539. The reversal of 90767513520 is 2531576709.

90767513520 is a `hidden beast` number, since 9 + 0 + 76 + 7 + 51 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×90767513520³ (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 21008839 + ... + 21013158.

It is an arithmetic number, because the mean of its divisors is an integer number (3908045814).

Almost surely, 2^90767513520 is an apocalyptic number.

90767513520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90767513520 is an abundant number, since it is smaller than the sum of its proper divisors (221876151600).

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

90767513520 is a wasteful number, since it uses less digits than its factorization.

90767513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42022019 (or 42022007 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 90767513520 in words is "ninety billion, seven hundred sixty-seven million, five hundred thirteen thousand, five hundred twenty".