27705917114129 has 2 divisors, whose sum is σ = 27705917114130. Its totient is φ = 27705917114128.

The previous prime is 27705917114107. The next prime is 27705917114167. The reversal of 27705917114129 is 92141171950772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26045099833600 + 1660817280529 = 5103440^2 + 1288727^2 .

It is a cyclic number.

It is not a de Polignac number, because 27705917114129 - 2⁴⁴ = 10113731069713 is a prime.

It is a super-2 number, since 2×27705917114129² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27705917113129) 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 as a sum of consecutive naturals, namely, 13852958557064 + 13852958557065.

It is an arithmetic number, because the mean of its divisors is an integer number (13852958557065).

Almost surely, 2^{27705917114129} is an apocalyptic number.

It is an amenable number.

27705917114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

27705917114129 is an equidigital number, since it uses as much as digits as its factorization.

27705917114129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 56.

The spelling of 27705917114129 in words is "twenty-seven trillion, seven hundred five billion, nine hundred seventeen million, one hundred fourteen thousand, one hundred twenty-nine".