25283980800 has 360 divisors, whose sum is σ = 97450497144. Its totient is φ = 6223380480.

The previous prime is 25283980781. The next prime is 25283980811. The reversal of 25283980800 is 808938252.

25283980800 is a `hidden beast` number, since 252 + 8 + 398 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1489159 + ... + 1506041.

Almost surely, 2^25283980800 is an apocalyptic number.

25283980800 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 25283980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48725248572).

25283980800 is an abundant number, since it is smaller than the sum of its proper divisors (72166516344).

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

25283980800 is a wasteful number, since it uses less digits than its factorization.

25283980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25283980800 in words is "twenty-five billion, two hundred eighty-three million, nine hundred eighty thousand, eight hundred".