90252573976512 has 280 divisors, whose sum is σ = 291328760038800. Its totient is φ = 27518025314304.

The previous prime is 90252573976459. The next prime is 90252573976559. The reversal of 90252573976512 is 21567937525209.

90252573976512 is a `hidden beast` number, since 9 + 0 + 2 + 5 + 2 + 573 + 9 + 7 + 6 + 51 + 2 = 666.

It is a super-2 number, since 2×90252573976512² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90252573976512.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 12942013 + ... + 18654780.

Almost surely, 2^{90252573976512} is an apocalyptic number.

It is an amenable number.

90252573976512 is an abundant number, since it is smaller than the sum of its proper divisors (201076186062288).

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

90252573976512 is a wasteful number, since it uses less digits than its factorization.

90252573976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31596865 (or 31596846 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 90252573976512 in words is "ninety trillion, two hundred fifty-two billion, five hundred seventy-three million, nine hundred seventy-six thousand, five hundred twelve".