25861635072 has 704 divisors, whose sum is σ = 99408870400. Its totient is φ = 6449725440.

The previous prime is 25861635061. The next prime is 25861635089. The reversal of 25861635072 is 27053616852.

25861635072 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 1 + 635 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47803122 + ... + 47803662.

Almost surely, 2^25861635072 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 25861635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49704435200).

25861635072 is an abundant number, since it is smaller than the sum of its proper divisors (73547235328).

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

25861635072 is a wasteful number, since it uses less digits than its factorization.

25861635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 25861635072 in words is "twenty-five billion, eight hundred sixty-one million, six hundred thirty-five thousand, seventy-two".