27945509911201 has 2 divisors, whose sum is σ = 27945509911202. Its totient is φ = 27945509911200.

The previous prime is 27945509911169. The next prime is 27945509911237. The reversal of 27945509911201 is 10211990554972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27394127923600 + 551381987601 = 5233940^2 + 742551^2 .

It is a cyclic number.

It is not a de Polignac number, because 27945509911201 - 2⁵ = 27945509911169 is a prime.

It is not a weakly prime, because it can be changed into another prime (27945509911001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13972754955600 + 13972754955601.

It is an arithmetic number, because the mean of its divisors is an integer number (13972754955601).

Almost surely, 2^{27945509911201} is an apocalyptic number.

It is an amenable number.

27945509911201 is a deficient number, since it is larger than the sum of its proper divisors (1).

27945509911201 is an equidigital number, since it uses as much as digits as its factorization.

27945509911201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 55.

The spelling of 27945509911201 in words is "twenty-seven trillion, nine hundred forty-five billion, five hundred nine million, nine hundred eleven thousand, two hundred one".