25856712000 has 896 divisors, whose sum is σ = 110947200000. Its totient is φ = 5893171200.

The previous prime is 25856711927. The next prime is 25856712031. The reversal of 25856712000 is 21765852.

It is a happy number.

25856712000 is a `hidden beast` number, since 2 + 585 + 6 + 71 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74087826 + ... + 74088174.

It is an arithmetic number, because the mean of its divisors is an integer number (123825000).

Almost surely, 2^25856712000 is an apocalyptic number.

25856712000 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 25856712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600000).

25856712000 is an abundant number, since it is smaller than the sum of its proper divisors (85090488000).

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

25856712000 is an equidigital number, since it uses as much as digits as its factorization.

25856712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 25856712000 in words is "twenty-five billion, eight hundred fifty-six million, seven hundred twelve thousand".