27777564294349 has 2 divisors, whose sum is σ = 27777564294350. Its totient is φ = 27777564294348.

The previous prime is 27777564294341. The next prime is 27777564294433. The reversal of 27777564294349 is 94349246577772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24831106218724 + 2946458075625 = 4983082^2 + 1716525^2 .

It is a cyclic number.

It is not a de Polignac number, because 27777564294349 - 2³ = 27777564294341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27777564294341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13888782147174 + 13888782147175.

It is an arithmetic number, because the mean of its divisors is an integer number (13888782147175).

Almost surely, 2^{27777564294349} is an apocalyptic number.

It is an amenable number.

27777564294349 is a deficient number, since it is larger than the sum of its proper divisors (1).

27777564294349 is an equidigital number, since it uses as much as digits as its factorization.

27777564294349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4480842240, while the sum is 76.

The spelling of 27777564294349 in words is "twenty-seven trillion, seven hundred seventy-seven billion, five hundred sixty-four million, two hundred ninety-four thousand, three hundred forty-nine".