26800636681 has 45 divisors (see below), whose sum is σ = 33987840981. Its totient is φ = 21122390016.

The previous prime is 26800636673. The next prime is 26800636693. The reversal of 26800636681 is 18663600862.

The square root of 26800636681 is 163709.

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 1906108281 + 24894528400 = 43659^2 + 157780^2 .

It is not a de Polignac number, because 26800636681 - 2³ = 26800636673 is a prime.

It is a super-2 number, since 2×26800636681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26800631681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104282505 + ... + 104282761.

Almost surely, 2^26800636681 is an apocalyptic number.

26800636681 is the 163709-th square number.

26800636681 is the 81855-th centered octagonal number.

It is an amenable number.

26800636681 is a deficient number, since it is larger than the sum of its proper divisors (7187204300).

26800636681 is an frugal number, since it uses more digits than its factorization.

26800636681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 26800636681 in words is "twenty-six billion, eight hundred million, six hundred thirty-six thousand, six hundred eighty-one".