25617105160056 has 192 divisors, whose sum is σ = 72594643417920. Its totient is φ = 8145411563520.

The previous prime is 25617105160051. The next prime is 25617105160057. The reversal of 25617105160056 is 65006150171652.

It is a happy number.

25617105160056 is a `hidden beast` number, since 2 + 5 + 61 + 71 + 0 + 516 + 0 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25617105159993 and 25617105160020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25617105160051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914980650 + ... + 915008646.

It is an arithmetic number, because the mean of its divisors is an integer number (378097101135).

Almost surely, 2^{25617105160056} 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 25617105160056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36297321708960).

25617105160056 is an abundant number, since it is smaller than the sum of its proper divisors (46977538257864).

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

25617105160056 is a wasteful number, since it uses less digits than its factorization.

25617105160056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29526 (or 29519 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 25617105160056 in words is "twenty-five trillion, six hundred seventeen billion, one hundred five million, one hundred sixty thousand, fifty-six".