56779497765 has 24 divisors (see below), whose sum is σ = 99523621080. Its totient is φ = 29942145024.

The previous prime is 56779497763. The next prime is 56779497767.

It is a happy number.

56779497765 is a `hidden beast` number, since 5 + 6 + 7 + 79 + 497 + 7 + 65 = 666.

56779497765 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56779497763) and next prime (56779497767).

It can be written as a sum of positive squares in 4 ways, for example, as 357096609 + 56422401156 = 18897^2 + 237534^2 .

It is not a de Polignac number, because 56779497765 - 2¹ = 56779497763 is a prime.

It is a super-2 number, since 2×56779497765² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56779497693 and 56779497702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56779497763) 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, 7084572 + ... + 7092581.

It is an arithmetic number, because the mean of its divisors is an integer number (4146817545).

Almost surely, 2^56779497765 is an apocalyptic number.

It is an amenable number.

56779497765 is a deficient number, since it is larger than the sum of its proper divisors (42744123315).

56779497765 is a wasteful number, since it uses less digits than its factorization.

56779497765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177253 (or 14177250 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 56779497765 in words is "fifty-six billion, seven hundred seventy-nine million, four hundred ninety-seven thousand, seven hundred sixty-five".