26560017792 has 768 divisors, whose sum is σ = 99978278400. Its totient is φ = 6569164800.

The previous prime is 26560017769. The next prime is 26560017817. The reversal of 26560017792 is 29771006562.

26560017792 is a `hidden beast` number, since 2 + 6 + 560 + 0 + 17 + 79 + 2 = 666.

It is a super-2 number, since 2×26560017792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243669834 + ... + 243669942.

It is an arithmetic number, because the mean of its divisors is an integer number (130180050).

Almost surely, 2^26560017792 is an apocalyptic number.

26560017792 is a gapful number since it is divisible by the number (22) 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 26560017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49989139200).

26560017792 is an abundant number, since it is smaller than the sum of its proper divisors (73418260608).

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

26560017792 is a wasteful number, since it uses less digits than its factorization.

26560017792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 26560017792 in words is "twenty-six billion, five hundred sixty million, seventeen thousand, seven hundred ninety-two".