25794891576960 has 1024 divisors, whose sum is σ = 91760283648000. Its totient is φ = 6111712051200.

The previous prime is 25794891576941. The next prime is 25794891576989. The reversal of 25794891576960 is 6967519849752.

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, 95184101625 + ... + 95184101895.

It is an arithmetic number, because the mean of its divisors is an integer number (89609652000).

Almost surely, 2^{25794891576960} is an apocalyptic number.

25794891576960 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 25794891576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880141824000).

25794891576960 is an abundant number, since it is smaller than the sum of its proper divisors (65965392071040).

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

25794891576960 is a wasteful number, since it uses less digits than its factorization.

25794891576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 78.

The spelling of 25794891576960 in words is "twenty-five trillion, seven hundred ninety-four billion, eight hundred ninety-one million, five hundred seventy-six thousand, nine hundred sixty".