87256433664 has 297 divisors, whose sum is σ = 269130375111. Its totient is φ = 27223326720.

The previous prime is 87256433617. The next prime is 87256433683. The reversal of 87256433664 is 46633465278.

The square root of 87256433664 is 295392.

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

87256433664 is a `hidden beast` number, since 8 + 72 + 564 + 3 + 3 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12294374400 + 74962059264 = 110880^2 + 273792^2 .

It is a super-2 number, since 2×87256433664² (a number of 23 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 87256433664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 482079654 + ... + 482079834.

Almost surely, 2^87256433664 is an apocalyptic number.

87256433664 is the 295392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87256433664

87256433664 is an abundant number, since it is smaller than the sum of its proper divisors (181873941447).

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

87256433664 is a wasteful number, since it uses less digits than its factorization.

87256433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 203 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 87256433664 in words is "eighty-seven billion, two hundred fifty-six million, four hundred thirty-three thousand, six hundred sixty-four".