90524583072 has 192 divisors, whose sum is σ = 329180544000. Its totient is φ = 23512861440.

The previous prime is 90524583059. The next prime is 90524583169. The reversal of 90524583072 is 27038542509.

90524583072 is a `hidden beast` number, since 9 + 0 + 524 + 58 + 3 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613822 + ... + 746877.

It is an arithmetic number, because the mean of its divisors is an integer number (1714482000).

Almost surely, 2^90524583072 is an apocalyptic number.

It is an amenable number.

90524583072 is an abundant number, since it is smaller than the sum of its proper divisors (238655960928).

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

90524583072 is a wasteful number, since it uses less digits than its factorization.

90524583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360736 (or 1360722 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 90524583072 in words is "ninety billion, five hundred twenty-four million, five hundred eighty-three thousand, seventy-two".