26820709613568 has 192 divisors, whose sum is σ = 83440946386980. Its totient is φ = 8252524855296.

The previous prime is 26820709613567. The next prime is 26820709613587. The reversal of 26820709613568 is 86531690702862.

It is a happy number.

26820709613568 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 0 + 7 + 0 + 9 + 61 + 3 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25743365259264 + 1077344354304 = 5073792^2 + 1037952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (26820709613567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335980 + ... + 7331732.

Almost surely, 2^{26820709613568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26820709613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41720473193490).

26820709613568 is an abundant number, since it is smaller than the sum of its proper divisors (56620236773412).

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

26820709613568 is an equidigital number, since it uses as much as digits as its factorization.

26820709613568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995802 (or 6995771 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 26820709613568 in words is "twenty-six trillion, eight hundred twenty billion, seven hundred nine million, six hundred thirteen thousand, five hundred sixty-eight".