25956181278720 has 1632 divisors, whose sum is σ = 117136454019840. Its totient is φ = 5392501309440.

The previous prime is 25956181278691. The next prime is 25956181278733. The reversal of 25956181278720 is 2787218165952.

25956181278720 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 618 + 1 + 2 + 7 + 8 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×25956181278720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4768724319 + ... + 4768729761.

Almost surely, 2^{25956181278720} is an apocalyptic number.

25956181278720 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 25956181278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58568227009920).

25956181278720 is an abundant number, since it is smaller than the sum of its proper divisors (91180272741120).

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

25956181278720 is an equidigital number, since it uses as much as digits as its factorization.

25956181278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 25956181278720 in words is "twenty-five trillion, nine hundred fifty-six billion, one hundred eighty-one million, two hundred seventy-eight thousand, seven hundred twenty".