90360515520 has 840 divisors, whose sum is σ = 361411186752. Its totient is φ = 21404528640.

The previous prime is 90360515519. The next prime is 90360515543. The reversal of 90360515520 is 2551506309.

90360515520 is a `hidden beast` number, since 90 + 3 + 6 + 0 + 515 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147406734 + ... + 147407346.

Almost surely, 2^90360515520 is an apocalyptic number.

90360515520 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 90360515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180705593376).

90360515520 is an abundant number, since it is smaller than the sum of its proper divisors (271050671232).

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

90360515520 is a wasteful number, since it uses less digits than its factorization.

90360515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 90360515520 in words is "ninety billion, three hundred sixty million, five hundred fifteen thousand, five hundred twenty".