27004074776401 has 2 divisors, whose sum is σ = 27004074776402. Its totient is φ = 27004074776400.

The previous prime is 27004074776389. The next prime is 27004074776411. The reversal of 27004074776401 is 10467747040072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25672958788801 + 1331115987600 = 5066849^2 + 1153740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27004074776401 is a prime.

It is not a weakly prime, because it can be changed into another prime (27004074776411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13502037388200 + 13502037388201.

It is an arithmetic number, because the mean of its divisors is an integer number (13502037388201).

Almost surely, 2^{27004074776401} is an apocalyptic number.

It is an amenable number.

27004074776401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27004074776401 is an equidigital number, since it uses as much as digits as its factorization.

27004074776401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1843968, while the sum is 49.

The spelling of 27004074776401 in words is "twenty-seven trillion, four billion, seventy-four million, seven hundred seventy-six thousand, four hundred one".