56720025467364 has 192 divisors, whose sum is σ = 154377177292800. Its totient is φ = 15874333862400.

The previous prime is 56720025467351. The next prime is 56720025467429. The reversal of 56720025467364 is 46376452002765.

56720025467364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56720025467364² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5199373542 + ... + 5199384450.

It is an arithmetic number, because the mean of its divisors is an integer number (804047798400).

Almost surely, 2^{56720025467364} 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 56720025467364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77188588646400).

56720025467364 is an abundant number, since it is smaller than the sum of its proper divisors (97657151825436).

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

56720025467364 is a wasteful number, since it uses less digits than its factorization.

56720025467364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17114 (or 17112 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 56720025467364 in words is "fifty-six trillion, seven hundred twenty billion, twenty-five million, four hundred sixty-seven thousand, three hundred sixty-four".