25668180720000 has 6400 divisors, whose sum is σ = 129549530880000. Its totient is φ = 4891041792000.

The previous prime is 25668180719963. The next prime is 25668180720011. The reversal of 25668180720000 is 2708186652.

25668180720000 is a `hidden beast` number, since 2 + 566 + 8 + 1 + 80 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 324913679961 + ... + 324913680039.

It is an arithmetic number, because the mean of its divisors is an integer number (20242114200).

Almost surely, 2^{25668180720000} is an apocalyptic number.

25668180720000 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 25668180720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774765440000).

25668180720000 is an abundant number, since it is smaller than the sum of its proper divisors (103881350160000).

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

25668180720000 is a wasteful number, since it uses less digits than its factorization.

25668180720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 25668180720000 in words is "twenty-five trillion, six hundred sixty-eight billion, one hundred eighty million, seven hundred twenty thousand".