26131439819664 has 225 divisors, whose sum is σ = 76222954000963. Its totient is φ = 8642941622784.

The previous prime is 26131439819633. The next prime is 26131439819707. The reversal of 26131439819664 is 46691893413162.

It is a happy number.

The square root of 26131439819664 is 5111892.

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

26131439819664 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 1 + 439 + 8 + 196 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6451498400400 + 19679941419264 = 2539980^2 + 4436208^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27420188212 + ... + 27420189164.

Almost surely, 2^{26131439819664} is an apocalyptic number.

26131439819664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26131439819664 is the 5111892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26131439819664

26131439819664 is an abundant number, since it is smaller than the sum of its proper divisors (50091514181299).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26131439819664 is an frugal number, since it uses more digits than its factorization.

26131439819664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1107 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 26131439819664 in words is "twenty-six trillion, one hundred thirty-one billion, four hundred thirty-nine million, eight hundred nineteen thousand, six hundred sixty-four".