56505093264 has 315 divisors, whose sum is σ = 172031072547. Its totient is φ = 17970724800.

The previous prime is 56505093223. The next prime is 56505093283. The reversal of 56505093264 is 46239050565.

The square root of 56505093264 is 237708.

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

56505093264 is a `hidden beast` number, since 5 + 6 + 50 + 509 + 32 + 64 = 666.

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 62 ways as a sum of consecutive naturals, for example, 795846349 + ... + 795846419.

Almost surely, 2^56505093264 is an apocalyptic number.

56505093264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56505093264 is the 237708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56505093264

56505093264 is an abundant number, since it is smaller than the sum of its proper divisors (115525979283).

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

56505093264 is an frugal number, since it uses more digits than its factorization.

56505093264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56505093264 in words is "fifty-six billion, five hundred five million, ninety-three thousand, two hundred sixty-four".