26582367681 has 9 divisors (see below), whose sum is σ = 38397459841. Its totient is φ = 17721252372.

The previous prime is 26582367673. The next prime is 26582367743. The reversal of 26582367681 is 18676328562.

The square root of 26582367681 is 163041.

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

26582367681 is a `hidden beast` number, since 26 + 582 + 36 + 7 + 6 + 8 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 26582367681 - 2³ = 26582367673 is a prime.

It is a super-2 number, since 2×26582367681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26582367631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 461950 + ... + 516296.

Almost surely, 2^26582367681 is an apocalyptic number.

26582367681 is the 163041-st square number.

26582367681 is the 81521-st centered octagonal number.

It is an amenable number.

26582367681 is a deficient number, since it is larger than the sum of its proper divisors (11815092160).

26582367681 is an frugal number, since it uses more digits than its factorization.

26582367681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108700 (or 54350 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 26582367681 in words is "twenty-six billion, five hundred eighty-two million, three hundred sixty-seven thousand, six hundred eighty-one".