55256964624 has 135 divisors (see below), whose sum is σ = 163368677199. Its totient is φ = 17432642880.

The previous prime is 55256964589. The next prime is 55256964689. The reversal of 55256964624 is 42646965255.

The square root of 55256964624 is 235068.

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

55256964624 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 6 + 9 + 6 + 4 + 624 = 666.

It is a super-2 number, since 2×55256964624² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53594989 + ... + 53596019.

Almost surely, 2^55256964624 is an apocalyptic number.

55256964624 is the 235068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55256964624

55256964624 is an abundant number, since it is smaller than the sum of its proper divisors (108111712575).

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

55256964624 is a wasteful number, since it uses less digits than its factorization.

55256964624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 1055 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 55256964624 in words is "fifty-five billion, two hundred fifty-six million, nine hundred sixty-four thousand, six hundred twenty-four".