25963416797472 has 2880 divisors, whose sum is σ = 106510695137280. Its totient is φ = 6093945446400.

The previous prime is 25963416797429. The next prime is 25963416797491. The reversal of 25963416797472 is 27479761436952.

25963416797472 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 3 + 4 + 1 + 67 + 97 + 472 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25963416797472.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 204436352673 + ... + 204436352799.

It is an arithmetic number, because the mean of its divisors is an integer number (36982880256).

Almost surely, 2^{25963416797472} is an apocalyptic number.

25963416797472 is a gapful number since it is divisible by the number (22) 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 25963416797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53255347568640).

25963416797472 is an abundant number, since it is smaller than the sum of its proper divisors (80547278339808).

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

25963416797472 is a wasteful number, since it uses less digits than its factorization.

25963416797472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 198 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 25963416797472 in words is "twenty-five trillion, nine hundred sixty-three billion, four hundred sixteen million, seven hundred ninety-seven thousand, four hundred seventy-two".