27407167756093 has 2 divisors, whose sum is σ = 27407167756094. Its totient is φ = 27407167756092.

The previous prime is 27407167756079. The next prime is 27407167756153. The reversal of 27407167756093 is 39065776170472.

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., 16783335982009 + 10623831774084 = 4096747^2 + 3259422^2 .

It is a cyclic number.

It is not a de Polignac number, because 27407167756093 - 2⁹ = 27407167755581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27407167750093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13703583878046 + 13703583878047.

It is an arithmetic number, because the mean of its divisors is an integer number (13703583878047).

Almost surely, 2^{27407167756093} is an apocalyptic number.

It is an amenable number.

27407167756093 is a deficient number, since it is larger than the sum of its proper divisors (1).

27407167756093 is an equidigital number, since it uses as much as digits as its factorization.

27407167756093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93350880, while the sum is 64.

The spelling of 27407167756093 in words is "twenty-seven trillion, four hundred seven billion, one hundred sixty-seven million, seven hundred fifty-six thousand, ninety-three".