90133472520 has 448 divisors, whose sum is σ = 374240401920. Its totient is φ = 19016612352.

The previous prime is 90133472509. The next prime is 90133472549. The reversal of 90133472520 is 2527433109.

90133472520 is a `hidden beast` number, since 9 + 0 + 133 + 472 + 52 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2636577 + ... + 2670543.

It is an arithmetic number, because the mean of its divisors is an integer number (835358040).

Almost surely, 2^90133472520 is an apocalyptic number.

90133472520 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 90133472520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187120200960).

90133472520 is an abundant number, since it is smaller than the sum of its proper divisors (284106929400).

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

90133472520 is a wasteful number, since it uses less digits than its factorization.

90133472520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34016 (or 33997 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 90133472520 in words is "ninety billion, one hundred thirty-three million, four hundred seventy-two thousand, five hundred twenty".