25686041472 has 1152 divisors, whose sum is σ = 102851985600. Its totient is φ = 6069288960.

The previous prime is 25686041449. The next prime is 25686041477. The reversal of 25686041472 is 27414068652.

25686041472 is a `hidden beast` number, since 2 + 568 + 6 + 0 + 4 + 14 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25686041477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361775197 + ... + 361775267.

Almost surely, 2^25686041472 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 25686041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425992800).

25686041472 is an abundant number, since it is smaller than the sum of its proper divisors (77165944128).

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

25686041472 is a wasteful number, since it uses less digits than its factorization.

25686041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25686041472 in words is "twenty-five billion, six hundred eighty-six million, forty-one thousand, four hundred seventy-two".