25996488560 has 320 divisors, whose sum is σ = 75809433600. Its totient is φ = 8089030656.

The previous prime is 25996488481. The next prime is 25996488593. The reversal of 25996488560 is 6588469952.

It is a junction number, because it is equal to n+sod(n) for n = 25996488493 and 25996488502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53380637 + ... + 53381123.

It is an arithmetic number, because the mean of its divisors is an integer number (236904480).

Almost surely, 2^25996488560 is an apocalyptic number.

25996488560 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 25996488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904716800).

25996488560 is an abundant number, since it is smaller than the sum of its proper divisors (49812945040).

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

25996488560 is a wasteful number, since it uses less digits than its factorization.

25996488560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 25996488560 in words is "twenty-five billion, nine hundred ninety-six million, four hundred eighty-eight thousand, five hundred sixty".