25805025792 has 640 divisors, whose sum is σ = 95638878720. Its totient is φ = 6688604160.

The previous prime is 25805025737. The next prime is 25805025823. The reversal of 25805025792 is 29752050852.

25805025792 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 502 + 57 + 92 = 666.

It is a super-2 number, since 2×25805025792² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91832692 + ... + 91832972.

It is an arithmetic number, because the mean of its divisors is an integer number (149435748).

Almost surely, 2^25805025792 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 25805025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47819439360).

25805025792 is an abundant number, since it is smaller than the sum of its proper divisors (69833852928).

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

25805025792 is a wasteful number, since it uses less digits than its factorization.

25805025792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 25805025792 in words is "twenty-five billion, eight hundred five million, twenty-five thousand, seven hundred ninety-two".