25612788960 has 576 divisors, whose sum is σ = 100255034880. Its totient is φ = 5894000640.

The previous prime is 25612788947. The next prime is 25612788967. The reversal of 25612788960 is 6988721652.

25612788960 is a `hidden beast` number, since 2 + 561 + 2 + 78 + 8 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25612788897 and 25612788906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25612788967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83429127 + ... + 83429433.

It is an arithmetic number, because the mean of its divisors is an integer number (174053880).

Almost surely, 2^25612788960 is an apocalyptic number.

25612788960 is a gapful number since it is divisible by the number (20) 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 25612788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127517440).

25612788960 is an abundant number, since it is smaller than the sum of its proper divisors (74642245920).

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

25612788960 is a wasteful number, since it uses less digits than its factorization.

25612788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25612788960 in words is "twenty-five billion, six hundred twelve million, seven hundred eighty-eight thousand, nine hundred sixty".