25968831360 has 128 divisors (see below), whose sum is σ = 83192832000. Its totient is φ = 6890121216.

The previous prime is 25968831353. The next prime is 25968831437. The reversal of 25968831360 is 6313886952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 348097 + ... + 416063.

It is an arithmetic number, because the mean of its divisors is an integer number (649944000).

Almost surely, 2^25968831360 is an apocalyptic number.

25968831360 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 25968831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41596416000).

25968831360 is an abundant number, since it is smaller than the sum of its proper divisors (57224000640).

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

25968831360 is a wasteful number, since it uses less digits than its factorization.

25968831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68188 (or 68176 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 25968831360 in words is "twenty-five billion, nine hundred sixty-eight million, eight hundred thirty-one thousand, three hundred sixty".