22960826413056 has 1872 divisors, whose sum is σ = 83303875968768. Its totient is φ = 6064334438400.

The previous prime is 22960826413051. The next prime is 22960826413153. The reversal of 22960826413056 is 65031462806922.

22960826413056 is a `hidden beast` number, since 2 + 2 + 9 + 608 + 26 + 4 + 1 + 3 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22960826412993 and 22960826413011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22960826413051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167597273020 + ... + 167597273156.

It is an arithmetic number, because the mean of its divisors is an integer number (44499933744).

Almost surely, 2^{22960826413056} 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 22960826413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41651937984384).

22960826413056 is an abundant number, since it is smaller than the sum of its proper divisors (60343049555712).

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

22960826413056 is a wasteful number, since it uses less digits than its factorization.

22960826413056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 22960826413056 in words is "twenty-two trillion, nine hundred sixty billion, eight hundred twenty-six million, four hundred thirteen thousand, fifty-six".