27414110105777 has 2 divisors, whose sum is σ = 27414110105778. Its totient is φ = 27414110105776.

The previous prime is 27414110105761. The next prime is 27414110105797. The reversal of 27414110105777 is 77750101141472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15093722284096 + 12320387821681 = 3885064^2 + 3510041^2 .

It is a cyclic number.

It is not a de Polignac number, because 27414110105777 - 2⁴ = 27414110105761 is a prime.

It is not a weakly prime, because it can be changed into another prime (27414110105737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13707055052888 + 13707055052889.

It is an arithmetic number, because the mean of its divisors is an integer number (13707055052889).

Almost surely, 2^{27414110105777} is an apocalyptic number.

It is an amenable number.

27414110105777 is a deficient number, since it is larger than the sum of its proper divisors (1).

27414110105777 is an equidigital number, since it uses as much as digits as its factorization.

27414110105777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384160, while the sum is 47.

The spelling of 27414110105777 in words is "twenty-seven trillion, four hundred fourteen billion, one hundred ten million, one hundred five thousand, seven hundred seventy-seven".