56191754304 has 567 divisors, whose sum is σ = 201455890077. Its totient is φ = 14928334848.

The previous prime is 56191754299. The next prime is 56191754323. The reversal of 56191754304 is 40345719165.

The square root of 56191754304 is 237048.

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

56191754304 is a `hidden beast` number, since 5 + 61 + 91 + 75 + 430 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43747905600 + 12443848704 = 209160^2 + 111552^2 .

It is a super-2 number, since 2×56191754304² (a number of 22 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 56191754304.

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 80 ways as a sum of consecutive naturals, for example, 677009047 + ... + 677009129.

Almost surely, 2^56191754304 is an apocalyptic number.

56191754304 is the 237048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56191754304

56191754304 is an abundant number, since it is smaller than the sum of its proper divisors (145264135773).

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

56191754304 is a wasteful number, since it uses less digits than its factorization.

56191754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56191754304 in words is "fifty-six billion, one hundred ninety-one million, seven hundred fifty-four thousand, three hundred four".