26105631140689 has 27 divisors (see below), whose sum is σ = 28504855742097. Its totient is φ = 23903008573824.

The previous prime is 26105631140683. The next prime is 26105631140713. The reversal of 26105631140689 is 98604113650162.

It is a happy number.

The square root of 26105631140689 is 5109367.

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 12143601044289 + 13962030096400 = 3484767^2 + 3736580^2 .

It is not a de Polignac number, because 26105631140689 - 2³ = 26105631140681 is a prime.

It is a super-2 number, since 2×26105631140689² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26105631140681) 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, 3213787782 + ... + 3213795904.

Almost surely, 2^{26105631140689} is an apocalyptic number.

26105631140689 is the 5109367-th square number.

26105631140689 is the 2554684-th centered octagonal number.

It is an amenable number.

26105631140689 is a deficient number, since it is larger than the sum of its proper divisors (2399224601408).

26105631140689 is an frugal number, since it uses more digits than its factorization.

26105631140689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 26105631140689 in words is "twenty-six trillion, one hundred five billion, six hundred thirty-one million, one hundred forty thousand, six hundred eighty-nine".