25850668800 has 216 divisors, whose sum is σ = 93069043200. Its totient is φ = 6266777600.

The previous prime is 25850668757. The next prime is 25850668807. The reversal of 25850668800 is 886605852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25850668800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25850668807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150001 + ... + 272399.

It is an arithmetic number, because the mean of its divisors is an integer number (430875200).

Almost surely, 2^25850668800 is an apocalyptic number.

25850668800 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 25850668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46534521600).

25850668800 is an abundant number, since it is smaller than the sum of its proper divisors (67218374400).

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

25850668800 is a wasteful number, since it uses less digits than its factorization.

25850668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122439 (or 122420 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 25850668800 in words is "twenty-five billion, eight hundred fifty million, six hundred sixty-eight thousand, eight hundred".