25680509568000 has 1320 divisors, whose sum is σ = 111332978242200. Its totient is φ = 5869714636800.

The previous prime is 25680509567917. The next prime is 25680509568029. The reversal of 25680509568000 is 86590508652.

25680509568000 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 0 + 509 + 56 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116079215616 + 25564430352384 = 340704^2 + 5056128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508006726 + ... + 508057274.

It is an arithmetic number, because the mean of its divisors is an integer number (84343165335).

Almost surely, 2^{25680509568000} is an apocalyptic number.

25680509568000 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 25680509568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55666489121100).

25680509568000 is an abundant number, since it is smaller than the sum of its proper divisors (85652468674200).

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

25680509568000 is an equidigital number, since it uses as much as digits as its factorization.

25680509568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50610 (or 50566 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 25680509568000 in words is "twenty-five trillion, six hundred eighty billion, five hundred nine million, five hundred sixty-eight thousand".