25809259560 has 256 divisors, whose sum is σ = 95317032960. Its totient is φ = 5460618240.

The previous prime is 25809259549. The next prime is 25809259589. The reversal of 25809259560 is 6595290852.

It is a super-2 number, since 2×25809259560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577374 + ... + 620466.

It is an arithmetic number, because the mean of its divisors is an integer number (372332160).

Almost surely, 2^25809259560 is an apocalyptic number.

25809259560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25809259560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47658516480).

25809259560 is an abundant number, since it is smaller than the sum of its proper divisors (69507773400).

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

25809259560 is a wasteful number, since it uses less digits than its factorization.

25809259560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43168 (or 43164 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 25809259560 in words is "twenty-five billion, eight hundred nine million, two hundred fifty-nine thousand, five hundred sixty".