25800422400 has 528 divisors, whose sum is σ = 95743921600. Its totient is φ = 6808043520.

The previous prime is 25800422393. The next prime is 25800422447. The reversal of 25800422400 is 422400852.

It is a happy number.

25800422400 is a `hidden beast` number, since 2 + 580 + 0 + 42 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112665486 + ... + 112665714.

Almost surely, 2^25800422400 is an apocalyptic number.

25800422400 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 25800422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47871960800).

25800422400 is an abundant number, since it is smaller than the sum of its proper divisors (69943499200).

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

25800422400 is a wasteful number, since it uses less digits than its factorization.

25800422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 25800422400 in words is "twenty-five billion, eight hundred million, four hundred twenty-two thousand, four hundred".