56617271665 has 32 divisors (see below), whose sum is σ = 73894270464. Its totient is φ = 41475471360.

The previous prime is 56617271621. The next prime is 56617271671.

56617271665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56617271665 - 2⁷ = 56617271537 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1256862 + ... + 1301128.

It is an arithmetic number, because the mean of its divisors is an integer number (2309195952).

Almost surely, 2^56617271665 is an apocalyptic number.

It is an amenable number.

56617271665 is a deficient number, since it is larger than the sum of its proper divisors (17276998799).

56617271665 is a wasteful number, since it uses less digits than its factorization.

56617271665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44697.

The product of its digits is 3175200, while the sum is 52.

The spelling of 56617271665 in words is "fifty-six billion, six hundred seventeen million, two hundred seventy-one thousand, six hundred sixty-five".