27580833058349 has 2 divisors, whose sum is σ = 27580833058350. Its totient is φ = 27580833058348.

The previous prime is 27580833058283. The next prime is 27580833058351. The reversal of 27580833058349 is 94385033808572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27447571555849 + 133261502500 = 5239043^2 + 365050^2 .

It is a cyclic number.

It is not a de Polignac number, because 27580833058349 - 2¹⁶ = 27580832992813 is a prime.

Together with 27580833058351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27580833052349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13790416529174 + 13790416529175.

It is an arithmetic number, because the mean of its divisors is an integer number (13790416529175).

Almost surely, 2^{27580833058349} is an apocalyptic number.

It is an amenable number.

27580833058349 is a deficient number, since it is larger than the sum of its proper divisors (1).

27580833058349 is an equidigital number, since it uses as much as digits as its factorization.

27580833058349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174182400, while the sum is 65.

The spelling of 27580833058349 in words is "twenty-seven trillion, five hundred eighty billion, eight hundred thirty-three million, fifty-eight thousand, three hundred forty-nine".