56568391925760 has 2880 divisors, whose sum is σ = 249637890902400. Its totient is φ = 12108284559360.

The previous prime is 56568391925719. The next prime is 56568391925797. The reversal of 56568391925760 is 6752919386565.

56568391925760 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 8 + 39 + 19 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×56568391925760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 2459495301109 + ... + 2459495301131.

It is an arithmetic number, because the mean of its divisors is an integer number (86679823230).

Almost surely, 2^{56568391925760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56568391925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124818945451200).

56568391925760 is an abundant number, since it is smaller than the sum of its proper divisors (193069498976640).

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

56568391925760 is an frugal number, since it uses more digits than its factorization.

56568391925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 56568391925760 in words is "fifty-six trillion, five hundred sixty-eight billion, three hundred ninety-one million, nine hundred twenty-five thousand, seven hundred sixty".