26580160656 has 240 divisors, whose sum is σ = 92576515200. Its totient is φ = 6946394112.

The previous prime is 26580160619. The next prime is 26580160667. The reversal of 26580160656 is 65606108562.

It is a happy number.

26580160656 is a `hidden beast` number, since 2 + 6 + 580 + 1 + 6 + 0 + 65 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531480 + ... + 579336.

It is an arithmetic number, because the mean of its divisors is an integer number (385735480).

Almost surely, 2^26580160656 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 26580160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46288257600).

26580160656 is an abundant number, since it is smaller than the sum of its proper divisors (65996354544).

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

26580160656 is a wasteful number, since it uses less digits than its factorization.

26580160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47926 (or 47917 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 26580160656 in words is "twenty-six billion, five hundred eighty million, one hundred sixty thousand, six hundred fifty-six".