56956606565760 has 1024 divisors, whose sum is σ = 232268217984000. Its totient is φ = 13045565030400.

The previous prime is 56956606565759. The next prime is 56956606565767. The reversal of 56956606565760 is 6756560665965.

It is a happy number.

56956606565760 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 6 + 606 + 5 + 6 + 5 + 7 + 6 + 0 = 666.

56956606565760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56956606565767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1347075820 + ... + 1347118100.

It is an arithmetic number, because the mean of its divisors is an integer number (226824431625).

Almost surely, 2^{56956606565760} 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 56956606565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116134108992000).

56956606565760 is an abundant number, since it is smaller than the sum of its proper divisors (175311611418240).

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

56956606565760 is a wasteful number, since it uses less digits than its factorization.

56956606565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42712 (or 42694 counting only the distinct ones).

The product of its (nonzero) digits is 1837080000, while the sum is 72.

The spelling of 56956606565760 in words is "fifty-six trillion, nine hundred fifty-six billion, six hundred six million, five hundred sixty-five thousand, seven hundred sixty".