26760560417 has 2 divisors, whose sum is σ = 26760560418. Its totient is φ = 26760560416.

The previous prime is 26760560401. The next prime is 26760560419. The reversal of 26760560417 is 71406506762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25362473536 + 1398086881 = 159256^2 + 37391^2 .

It is a cyclic number.

It is not a de Polignac number, because 26760560417 - 2⁴ = 26760560401 is a prime.

It is a super-2 number, since 2×26760560417² (a number of 22 digits) contains 22 as substring.

Together with 26760560419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (26760560419) 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, 13380280208 + 13380280209.

It is an arithmetic number, because the mean of its divisors is an integer number (13380280209).

Almost surely, 2^26760560417 is an apocalyptic number.

It is an amenable number.

26760560417 is a deficient number, since it is larger than the sum of its proper divisors (1).

26760560417 is an equidigital number, since it uses as much as digits as its factorization.

26760560417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 26760560417 in words is "twenty-six billion, seven hundred sixty million, five hundred sixty thousand, four hundred seventeen".