26317751586889 has 27 divisors (see below), whose sum is σ = 30792207763701. Its totient is φ = 22427902062720.

The previous prime is 26317751586877. The next prime is 26317751586899. The reversal of 26317751586889 is 98868515771362.

The square root of 26317751586889 is 5130083.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17381119650489 + 8936631936400 = 4169067^2 + 2989420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26317751586889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26317751586899) 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, 6499813137 + ... + 6499817185.

Almost surely, 2^{26317751586889} is an apocalyptic number.

26317751586889 is the 5130083-rd square number.

26317751586889 is the 2565042-nd centered octagonal number.

It is an amenable number.

26317751586889 is a deficient number, since it is larger than the sum of its proper divisors (4474456176812).

26317751586889 is an frugal number, since it uses more digits than its factorization.

26317751586889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 4237 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 76.

The spelling of 26317751586889 in words is "twenty-six trillion, three hundred seventeen billion, seven hundred fifty-one million, five hundred eighty-six thousand, eight hundred eighty-nine".