26688131201 has 2 divisors, whose sum is σ = 26688131202. Its totient is φ = 26688131200.

The previous prime is 26688131161. The next prime is 26688131203. The reversal of 26688131201 is 10213188662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21962943601 + 4725187600 = 148199^2 + 68740^2 .

It is a cyclic number.

It is not a de Polignac number, because 26688131201 - 2¹⁰ = 26688130177 is a prime.

Together with 26688131203, 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 (26688131203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13344065600 + 13344065601.

It is an arithmetic number, because the mean of its divisors is an integer number (13344065601).

Almost surely, 2^26688131201 is an apocalyptic number.

It is an amenable number.

26688131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

26688131201 is an equidigital number, since it uses as much as digits as its factorization.

26688131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 26688131201 in words is "twenty-six billion, six hundred eighty-eight million, one hundred thirty-one thousand, two hundred one".