25845190800 has 480 divisors, whose sum is σ = 102396779520. Its totient is φ = 5478451200.

The previous prime is 25845190783. The next prime is 25845190829. The reversal of 25845190800 is 809154852.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 3256437 + ... + 3264363.

It is an arithmetic number, because the mean of its divisors is an integer number (213326624).

Almost surely, 2^25845190800 is an apocalyptic number.

25845190800 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 25845190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51198389760).

25845190800 is an abundant number, since it is smaller than the sum of its proper divisors (76551588720).

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

25845190800 is a wasteful number, since it uses less digits than its factorization.

25845190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 25845190800 in words is "twenty-five billion, eight hundred forty-five million, one hundred ninety thousand, eight hundred".