27642934001873 has 2 divisors, whose sum is σ = 27642934001874. Its totient is φ = 27642934001872.

The previous prime is 27642934001869. The next prime is 27642934001887. The reversal of 27642934001873 is 37810043924672.

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., 19802749200784 + 7840184801089 = 4450028^2 + 2800033^2 .

It is a cyclic number.

It is not a de Polignac number, because 27642934001873 - 2² = 27642934001869 is a prime.

It is not a weakly prime, because it can be changed into another prime (27642934001173) 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, 13821467000936 + 13821467000937.

It is an arithmetic number, because the mean of its divisors is an integer number (13821467000937).

Almost surely, 2^{27642934001873} is an apocalyptic number.

It is an amenable number.

27642934001873 is a deficient number, since it is larger than the sum of its proper divisors (1).

27642934001873 is an equidigital number, since it uses as much as digits as its factorization.

27642934001873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 27642934001873 in words is "twenty-seven trillion, six hundred forty-two billion, nine hundred thirty-four million, one thousand, eight hundred seventy-three".