56766466466765 has 48 divisors (see below), whose sum is σ = 76177368812160. Its totient is φ = 40570634966400.

The previous prime is 56766466466737. The next prime is 56766466466777.

56766466466765 is nontrivially palindromic in base 10.

56766466466765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56766466466765 - 2⁴⁴ = 39174280422349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56766466466765.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11034851 + ... + 15339519.

It is an arithmetic number, because the mean of its divisors is an integer number (1587028516920).

Almost surely, 2^{56766466466765} is an apocalyptic number.

56766466466765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56766466466765 is a deficient number, since it is larger than the sum of its proper divisors (19410902345395).

56766466466765 is a wasteful number, since it uses less digits than its factorization.

56766466466765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305074 (or 4305063 counting only the distinct ones).

The product of its digits is 32920473600, while the sum is 80.

The spelling of 56766466466765 in words is "fifty-six trillion, seven hundred sixty-six billion, four hundred sixty-six million, four hundred sixty-six thousand, seven hundred sixty-five".