89525427264 has 567 divisors, whose sum is σ = 325608431967. Its totient is φ = 23438757888.

The previous prime is 89525427227. The next prime is 89525427293. The reversal of 89525427264 is 46272452598.

The square root of 89525427264 is 299208.

It is a perfect power (a square), and thus also a powerful number.

89525427264 is a `hidden beast` number, since 8 + 9 + 525 + 42 + 72 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7958067264 + 81567360000 = 89208^2 + 285600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89525427264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 653470204 + ... + 653470340.

Almost surely, 2^89525427264 is an apocalyptic number.

89525427264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

89525427264 is the 299208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89525427264

89525427264 is an abundant number, since it is smaller than the sum of its proper divisors (236083004703).

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

89525427264 is a wasteful number, since it uses less digits than its factorization.

89525427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 162 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 89525427264 in words is "eighty-nine billion, five hundred twenty-five million, four hundred twenty-seven thousand, two hundred sixty-four".