25812725616 has 240 divisors, whose sum is σ = 75766579200. Its totient is φ = 8197120512.

The previous prime is 25812725599. The next prime is 25812725629. The reversal of 25812725616 is 61652721852.

25812725616 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 2 + 7 + 25 + 616 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50712370 + ... + 50712878.

It is an arithmetic number, because the mean of its divisors is an integer number (315694080).

Almost surely, 2^25812725616 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 25812725616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37883289600).

25812725616 is an abundant number, since it is smaller than the sum of its proper divisors (49953853584).

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

25812725616 is a wasteful number, since it uses less digits than its factorization.

25812725616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 747 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 25812725616 in words is "twenty-five billion, eight hundred twelve million, seven hundred twenty-five thousand, six hundred sixteen".