56546788764565 has 24 divisors (see below), whose sum is σ = 74587156983864. Its totient is φ = 41124123849600.

The previous prime is 56546788764517. The next prime is 56546788764569.

56546788764565 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 115337668996 + 56431451095569 = 339614^2 + 7512087^2 .

It is a de Polignac number, because none of the positive numbers 2^k-56546788764565 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56546788764569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30574359 + ... + 32371051.

It is an arithmetic number, because the mean of its divisors is an integer number (3107798207661).

Almost surely, 2^{56546788764565} is an apocalyptic number.

56546788764565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56546788764565 is a deficient number, since it is larger than the sum of its proper divisors (18040368219299).

56546788764565 is a wasteful number, since it uses less digits than its factorization.

56546788764565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848741 (or 1848730 counting only the distinct ones).

The product of its digits is 40642560000, while the sum is 82.

The spelling of 56546788764565 in words is "fifty-six trillion, five hundred forty-six billion, seven hundred eighty-eight million, seven hundred sixty-four thousand, five hundred sixty-five".