25279442759256 has 256 divisors, whose sum is σ = 74159167057920. Its totient is φ = 7030313472000.

The previous prime is 25279442759177. The next prime is 25279442759287. The reversal of 25279442759256 is 65295724497252.

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, 6657739150 + ... + 6657742946.

It is an arithmetic number, because the mean of its divisors is an integer number (289684246320).

Almost surely, 2^{25279442759256} 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 25279442759256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37079583528960).

25279442759256 is an abundant number, since it is smaller than the sum of its proper divisors (48879724298664).

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

25279442759256 is a wasteful number, since it uses less digits than its factorization.

25279442759256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5822 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 69.

The spelling of 25279442759256 in words is "twenty-five trillion, two hundred seventy-nine billion, four hundred forty-two million, seven hundred fifty-nine thousand, two hundred fifty-six".