25871712768 has 240 divisors, whose sum is σ = 84182424480. Its totient is φ = 7839406080.

The previous prime is 25871712739. The next prime is 25871712847. The reversal of 25871712768 is 86721717852.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664971 + ... + 1680437.

It is an arithmetic number, because the mean of its divisors is an integer number (350760102).

Almost surely, 2^25871712768 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 25871712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42091212240).

25871712768 is an abundant number, since it is smaller than the sum of its proper divisors (58310711712).

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

25871712768 is a wasteful number, since it uses less digits than its factorization.

25871712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15516 (or 15483 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 25871712768 in words is "twenty-five billion, eight hundred seventy-one million, seven hundred twelve thousand, seven hundred sixty-eight".