25963858651136 has 768 divisors, whose sum is σ = 66572513280000. Its totient is φ = 9869407027200.

The previous prime is 25963858651079. The next prime is 25963858651189. The reversal of 25963858651136 is 63115685836952.

It is a Harshad number since it is a multiple of its sum of digits (68).

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 63 ways as a sum of consecutive naturals, for example, 52031780615 + ... + 52031781113.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960000).

Almost surely, 2^{25963858651136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25963858651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286256640000).

25963858651136 is an abundant number, since it is smaller than the sum of its proper divisors (40608654628864).

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

25963858651136 is a wasteful number, since it uses less digits than its factorization.

25963858651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 724 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 68.

The spelling of 25963858651136 in words is "twenty-five trillion, nine hundred sixty-three billion, eight hundred fifty-eight million, six hundred fifty-one thousand, one hundred thirty-six".