25984944720 has 640 divisors, whose sum is σ = 110872903680. Its totient is φ = 5457715200.

The previous prime is 25984944707. The next prime is 25984944743. The reversal of 25984944720 is 2744948952.

It is a happy number.

25984944720 is a `hidden beast` number, since 2 + 5 + 9 + 84 + 94 + 472 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11051545 + ... + 11053895.

It is an arithmetic number, because the mean of its divisors is an integer number (173238912).

Almost surely, 2^25984944720 is an apocalyptic number.

25984944720 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 25984944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436451840).

25984944720 is an abundant number, since it is smaller than the sum of its proper divisors (84887958960).

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

25984944720 is a wasteful number, since it uses less digits than its factorization.

25984944720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 25984944720 in words is "twenty-five billion, nine hundred eighty-four million, nine hundred forty-four thousand, seven hundred twenty".