27374107776401 has 2 divisors, whose sum is σ = 27374107776402. Its totient is φ = 27374107776400.

The previous prime is 27374107776391. The next prime is 27374107776437. The reversal of 27374107776401 is 10467770147372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27297490090000 + 76617686401 = 5224700^2 + 276799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27374107776401 is a prime.

It is a super-2 number, since 2×27374107776401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27374107775401) 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, 13687053888200 + 13687053888201.

It is an arithmetic number, because the mean of its divisors is an integer number (13687053888201).

Almost surely, 2^{27374107776401} is an apocalyptic number.

It is an amenable number.

27374107776401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27374107776401 is an equidigital number, since it uses as much as digits as its factorization.

27374107776401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9680832, while the sum is 56.

The spelling of 27374107776401 in words is "twenty-seven trillion, three hundred seventy-four billion, one hundred seven million, seven hundred seventy-six thousand, four hundred one".