25973828997120 has 2080 divisors, whose sum is σ = 100255650840576. Its totient is φ = 6421059993600.

The previous prime is 25973828997073. The next prime is 25973828997209. The reversal of 25973828997120 is 2179982837952.

25973828997120 is a `hidden beast` number, since 2 + 5 + 97 + 382 + 8 + 99 + 71 + 2 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 204518338497 + ... + 204518338623.

Almost surely, 2^{25973828997120} is an apocalyptic number.

25973828997120 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 25973828997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127825420288).

25973828997120 is an abundant number, since it is smaller than the sum of its proper divisors (74281821843456).

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

25973828997120 is a wasteful number, since it uses less digits than its factorization.

25973828997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 25973828997120 in words is "twenty-five trillion, nine hundred seventy-three billion, eight hundred twenty-eight million, nine hundred ninety-seven thousand, one hundred twenty".