27260456761 has 2 divisors, whose sum is σ = 27260456762. Its totient is φ = 27260456760.

The previous prime is 27260456753. The next prime is 27260456771. The reversal of 27260456761 is 16765406272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17455694400 + 9804762361 = 132120^2 + 99019^2 .

It is a cyclic number.

It is not a de Polignac number, because 27260456761 - 2³ = 27260456753 is a prime.

It is a super-2 number, since 2×27260456761² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27260456711) 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, 13630228380 + 13630228381.

It is an arithmetic number, because the mean of its divisors is an integer number (13630228381).

Almost surely, 2^27260456761 is an apocalyptic number.

It is an amenable number.

27260456761 is a deficient number, since it is larger than the sum of its proper divisors (1).

27260456761 is an equidigital number, since it uses as much as digits as its factorization.

27260456761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 27260456761 in words is "twenty-seven billion, two hundred sixty million, four hundred fifty-six thousand, seven hundred sixty-one".