25905689568 has 288 divisors, whose sum is σ = 84065409792. Its totient is φ = 7847072640.

The previous prime is 25905689543. The next prime is 25905689573. The reversal of 25905689568 is 86598650952.

25905689568 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 5 + 68 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25905689568² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10348605 + ... + 10351107.

It is an arithmetic number, because the mean of its divisors is an integer number (291893784).

Almost surely, 2^25905689568 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 25905689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032704896).

25905689568 is an abundant number, since it is smaller than the sum of its proper divisors (58159720224).

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

25905689568 is an equidigital number, since it uses as much as digits as its factorization.

25905689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 25905689568 in words is "twenty-five billion, nine hundred five million, six hundred eighty-nine thousand, five hundred sixty-eight".