25250816800 has 288 divisors, whose sum is σ = 71174194560. Its totient is φ = 8657510400.

The previous prime is 25250816791. The next prime is 25250816813. The reversal of 25250816800 is 861805252.

It is a self number, because there is not a number n which added to its sum of digits gives 25250816800.

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 47 ways as a sum of consecutive naturals, for example, 14774346 + ... + 14776054.

It is an arithmetic number, because the mean of its divisors is an integer number (247132620).

Almost surely, 2^25250816800 is an apocalyptic number.

25250816800 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 25250816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35587097280).

25250816800 is an abundant number, since it is smaller than the sum of its proper divisors (45923377760).

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

25250816800 is a wasteful number, since it uses less digits than its factorization.

25250816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 25250816800 in words is "twenty-five billion, two hundred fifty million, eight hundred sixteen thousand, eight hundred".