26561027808 has 864 divisors, whose sum is σ = 99490809600. Its totient is φ = 6667702272.

The previous prime is 26561027767. The next prime is 26561027821. The reversal of 26561027808 is 80872016562.

26561027808 is a `hidden beast` number, since 2 + 6 + 5 + 610 + 27 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 363849660 + ... + 363849732.

It is an arithmetic number, because the mean of its divisors is an integer number (115151400).

Almost surely, 2^26561027808 is an apocalyptic number.

26561027808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26561027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49745404800).

26561027808 is an abundant number, since it is smaller than the sum of its proper divisors (72929781792).

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

26561027808 is a wasteful number, since it uses less digits than its factorization.

26561027808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 26561027808 in words is "twenty-six billion, five hundred sixty-one million, twenty-seven thousand, eight hundred eight".