26711853580129 has 2 divisors, whose sum is σ = 26711853580130. Its totient is φ = 26711853580128.

The previous prime is 26711853580117. The next prime is 26711853580201. The reversal of 26711853580129 is 92108535811762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26318131214400 + 393722365729 = 5130120^2 + 627473^2 .

It is a cyclic number.

It is not a de Polignac number, because 26711853580129 - 2¹⁵ = 26711853547361 is a prime.

It is not a weakly prime, because it can be changed into another prime (26711853580109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13355926790064 + 13355926790065.

It is an arithmetic number, because the mean of its divisors is an integer number (13355926790065).

Almost surely, 2^{26711853580129} is an apocalyptic number.

It is an amenable number.

26711853580129 is a deficient number, since it is larger than the sum of its proper divisors (1).

26711853580129 is an equidigital number, since it uses as much as digits as its factorization.

26711853580129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 26711853580129 in words is "twenty-six trillion, seven hundred eleven billion, eight hundred fifty-three million, five hundred eighty thousand, one hundred twenty-nine".