56677599577665 has 144 divisors (see below), whose sum is σ = 114347105190864. Its totient is φ = 25861086535680.

The previous prime is 56677599577637. The next prime is 56677599577741.

56677599577665 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 7 + 599 + 5 + 7 + 7 + 6 + 6 + 5 = 666.

56677599577665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 14356225459521 + 42321374118144 = 3788961^2 + 6505488^2 .

It is not a de Polignac number, because 56677599577665 - 2⁹ = 56677599577153 is a prime.

It is a super-2 number, since 2×56677599577665² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1247475789 + ... + 1247521221.

It is an arithmetic number, because the mean of its divisors is an integer number (794077119381).

Almost surely, 2^{56677599577665} is an apocalyptic number.

56677599577665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56677599577665 is an abundant number, since it is smaller than the sum of its proper divisors (57669505613199).

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

56677599577665 is a wasteful number, since it uses less digits than its factorization.

56677599577665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58960 (or 58946 counting only the distinct ones).

The product of its digits is 157529610000, while the sum is 90.

The spelling of 56677599577665 in words is "fifty-six trillion, six hundred seventy-seven billion, five hundred ninety-nine million, five hundred seventy-seven thousand, six hundred sixty-five".