27648941270689 has 2 divisors, whose sum is σ = 27648941270690. Its totient is φ = 27648941270688.

The previous prime is 27648941270653. The next prime is 27648941270701. The reversal of 27648941270689 is 98607214984672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21837910341025 + 5811030929664 = 4673105^2 + 2410608^2 .

It is a cyclic number.

It is not a de Polignac number, because 27648941270689 - 2³⁷ = 27511502317217 is a prime.

It is not a weakly prime, because it can be changed into another prime (27648941270609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13824470635344 + 13824470635345.

It is an arithmetic number, because the mean of its divisors is an integer number (13824470635345).

Almost surely, 2^{27648941270689} is an apocalyptic number.

It is an amenable number.

27648941270689 is a deficient number, since it is larger than the sum of its proper divisors (1).

27648941270689 is an equidigital number, since it uses as much as digits as its factorization.

27648941270689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 585252864, while the sum is 73.

The spelling of 27648941270689 in words is "twenty-seven trillion, six hundred forty-eight billion, nine hundred forty-one million, two hundred seventy thousand, six hundred eighty-nine".