56677077665 has 64 divisors (see below), whose sum is σ = 79054859520. Its totient is φ = 38632120320.

The previous prime is 56677077661. The next prime is 56677077671.

56677077665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56677077665 - 2² = 56677077661 is a prime.

It is a super-4 number, since 4×56677077665⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 56677077598 and 56677077607.

It is not an unprimeable number, because it can be changed into a prime (56677077661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38268725 + ... + 38270205.

It is an arithmetic number, because the mean of its divisors is an integer number (1235232180).

Almost surely, 2^56677077665 is an apocalyptic number.

It is an amenable number.

56677077665 is a deficient number, since it is larger than the sum of its proper divisors (22377781855).

56677077665 is a wasteful number, since it uses less digits than its factorization.

56677077665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162.

The product of its (nonzero) digits is 77792400, while the sum is 62.

The spelling of 56677077665 in words is "fifty-six billion, six hundred seventy-seven million, seventy-seven thousand, six hundred sixty-five".