27642655171121 has 2 divisors, whose sum is σ = 27642655171122. Its totient is φ = 27642655171120.

The previous prime is 27642655171091. The next prime is 27642655171213. The reversal of 27642655171121 is 12117155624672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22582454410000 + 5060200761121 = 4752100^2 + 2249489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27642655171121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27642655171121.

It is not a weakly prime, because it can be changed into another prime (27642655171321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13821327585560 + 13821327585561.

It is an arithmetic number, because the mean of its divisors is an integer number (13821327585561).

Almost surely, 2^{27642655171121} is an apocalyptic number.

It is an amenable number.

27642655171121 is a deficient number, since it is larger than the sum of its proper divisors (1).

27642655171121 is an equidigital number, since it uses as much as digits as its factorization.

27642655171121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 50.

The spelling of 27642655171121 in words is "twenty-seven trillion, six hundred forty-two billion, six hundred fifty-five million, one hundred seventy-one thousand, one hundred twenty-one".