26307184676809 has 27 divisors (see below), whose sum is σ = 28340613412383. Its totient is φ = 24414620539392.

The previous prime is 26307184676791. The next prime is 26307184676813. The reversal of 26307184676809 is 90867648170362.

The square root of 26307184676809 is 5129053.

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

It can be written as a sum of positive squares in 13 ways, for example, as 770050125625 + 25537134551184 = 877525^2 + 5053428^2 .

It is not a de Polignac number, because 26307184676809 - 2²³ = 26307176288201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26307185676809) 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, 6365152707 + ... + 6365156839.

Almost surely, 2^{26307184676809} is an apocalyptic number.

26307184676809 is the 5129053-rd square number.

26307184676809 is the 2564527-th centered octagonal number.

It is an amenable number.

26307184676809 is a deficient number, since it is larger than the sum of its proper divisors (2033428735574).

26307184676809 is an frugal number, since it uses more digits than its factorization.

26307184676809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 26307184676809 in words is "twenty-six trillion, three hundred seven billion, one hundred eighty-four million, six hundred seventy-six thousand, eight hundred nine".