26688062270401 has 27 divisors (see below), whose sum is σ = 31360011238947. Its totient is φ = 22645892396400.

The previous prime is 26688062270393. The next prime is 26688062270413. The reversal of 26688062270401 is 10407226088662.

The square root of 26688062270401 is 5166049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25641574190001 + 1046488080400 = 5063751^2 + 1022980^2 .

It is not a de Polignac number, because 26688062270401 - 2³ = 26688062270393 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26688062270491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3652392990 + ... + 3652400296.

Almost surely, 2^{26688062270401} is an apocalyptic number.

26688062270401 is the 5166049-th square number.

26688062270401 is the 2583025-th centered octagonal number.

It is an amenable number.

26688062270401 is a deficient number, since it is larger than the sum of its proper divisors (4671948968546).

26688062270401 is an frugal number, since it uses more digits than its factorization.

26688062270401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14830 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 26688062270401 in words is "twenty-six trillion, six hundred eighty-eight billion, sixty-two million, two hundred seventy thousand, four hundred one".