25984644894720 has 832 divisors, whose sum is σ = 95113787155200. Its totient is φ = 6811101167616.

The previous prime is 25984644894707. The next prime is 25984644894773. The reversal of 25984644894720 is 2749844648952.

25984644894720 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 464 + 4 + 8 + 94 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642590924 + ... + 2642600756.

Almost surely, 2^{25984644894720} is an apocalyptic number.

25984644894720 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 25984644894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47556893577600).

25984644894720 is an abundant number, since it is smaller than the sum of its proper divisors (69129142260480).

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

25984644894720 is an frugal number, since it uses more digits than its factorization.

25984644894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 25984644894720 in words is "twenty-five trillion, nine hundred eighty-four billion, six hundred forty-four million, eight hundred ninety-four thousand, seven hundred twenty".