56610265011744 has 72 divisors (see below), whose sum is σ = 153550189674000. Its totient is φ = 18261375780480.

The previous prime is 56610265011739. The next prime is 56610265011749. The reversal of 56610265011744 is 44711056201665.

56610265011744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56610265011739) and next prime (56610265011749).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 56610265011693 and 56610265011702.

It is not an unprimeable number, because it can be changed into a prime (56610265011749) 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 11 ways as a sum of consecutive naturals, for example, 306718494 + ... + 306903005.

It is an arithmetic number, because the mean of its divisors is an integer number (2132641523250).

Almost surely, 2^{56610265011744} is an apocalyptic number.

It is an amenable number.

56610265011744 is an abundant number, since it is smaller than the sum of its proper divisors (96939924662256).

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

56610265011744 is a wasteful number, since it uses less digits than its factorization.

56610265011744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613621574 (or 613621535 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 56610265011744 in words is "fifty-six trillion, six hundred ten billion, two hundred sixty-five million, eleven thousand, seven hundred forty-four".