27830313657 has 6 divisors (see below), whose sum is σ = 40199341962. Its totient is φ = 18553542432.

The previous prime is 27830313551. The next prime is 27830313691. The reversal of 27830313657 is 75631303872.

27830313657 is a `hidden beast` number, since 278 + 3 + 0 + 313 + 65 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27750229056 + 80084601 = 166584^2 + 8949^2 .

It is not a de Polignac number, because 27830313657 - 2¹⁵ = 27830280889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27830313857) 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 5 ways as a sum of consecutive naturals, for example, 1546128528 + ... + 1546128545.

It is an arithmetic number, because the mean of its divisors is an integer number (6699890327).

Almost surely, 2^27830313657 is an apocalyptic number.

It is an amenable number.

27830313657 is a deficient number, since it is larger than the sum of its proper divisors (12369028305).

27830313657 is a wasteful number, since it uses less digits than its factorization.

27830313657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092257079 (or 3092257076 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 27830313657 in words is "twenty-seven billion, eight hundred thirty million, three hundred thirteen thousand, six hundred fifty-seven".