27727157313 has 24 divisors (see below), whose sum is σ = 40134931200. Its totient is φ = 18445782240.

The previous prime is 27727157309. The next prime is 27727157377. The reversal of 27727157313 is 31375172772.

27727157313 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 71 + 573 + 1 + 3 = 666.

It is not a de Polignac number, because 27727157313 - 2² = 27727157309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27727157383) 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, 15208720 + ... + 15210542.

It is an arithmetic number, because the mean of its divisors is an integer number (1672288800).

Almost surely, 2^27727157313 is an apocalyptic number.

It is an amenable number.

27727157313 is a deficient number, since it is larger than the sum of its proper divisors (12407773887).

27727157313 is a wasteful number, since it uses less digits than its factorization.

27727157313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4466 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The spelling of 27727157313 in words is "twenty-seven billion, seven hundred twenty-seven million, one hundred fifty-seven thousand, three hundred thirteen".