26065566072 has 768 divisors, whose sum is σ = 95886336000. Its totient is φ = 6584094720.

The previous prime is 26065566071. The next prime is 26065566139. The reversal of 26065566072 is 27066556062.

26065566072 is a `hidden beast` number, since 26 + 0 + 6 + 556 + 6 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26065566071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268717128 + ... + 268717224.

It is an arithmetic number, because the mean of its divisors is an integer number (124852000).

Almost surely, 2^26065566072 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 26065566072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47943168000).

26065566072 is an abundant number, since it is smaller than the sum of its proper divisors (69820769928).

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

26065566072 is a wasteful number, since it uses less digits than its factorization.

26065566072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 26065566072 in words is "twenty-six billion, sixty-five million, five hundred sixty-six thousand, seventy-two".