27256713446817 has 24 divisors (see below), whose sum is σ = 39517917379200. Its totient is φ = 18103248369888.

The previous prime is 27256713446797. The next prime is 27256713446857. The reversal of 27256713446817 is 71864431765272.

27256713446817 is a `hidden beast` number, since 2 + 7 + 2 + 567 + 1 + 3 + 4 + 4 + 68 + 1 + 7 = 666.

It is not a de Polignac number, because 27256713446817 - 2¹⁴ = 27256713430433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27256713446857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230611378 + ... + 230729540.

It is an arithmetic number, because the mean of its divisors is an integer number (1646579890800).

Almost surely, 2^{27256713446817} is an apocalyptic number.

It is an amenable number.

27256713446817 is a deficient number, since it is larger than the sum of its proper divisors (12261203932383).

27256713446817 is a wasteful number, since it uses less digits than its factorization.

27256713446817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213717 (or 213714 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 27256713446817 in words is "twenty-seven trillion, two hundred fifty-six billion, seven hundred thirteen million, four hundred forty-six thousand, eight hundred seventeen".