25680399360 has 352 divisors, whose sum is σ = 102409477632. Its totient is φ = 5335941120.

The previous prime is 25680399347. The next prime is 25680399379. The reversal of 25680399360 is 6399308652.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×25680399360² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1171864 + ... + 1193576.

It is an arithmetic number, because the mean of its divisors is an integer number (290936016).

Almost surely, 2^25680399360 is an apocalyptic number.

25680399360 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 25680399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51204738816).

25680399360 is an abundant number, since it is smaller than the sum of its proper divisors (76729078272).

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

25680399360 is a wasteful number, since it uses less digits than its factorization.

25680399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21759 (or 21741 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 25680399360 in words is "twenty-five billion, six hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".