25230787200 has 576 divisors, whose sum is σ = 94885801920. Its totient is φ = 6618931200.

The previous prime is 25230787177. The next prime is 25230787247. The reversal of 25230787200 is 278703252.

It is a happy number.

25230787200 is a `hidden beast` number, since 252 + 307 + 87 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55209372 + ... + 55209828.

It is an arithmetic number, because the mean of its divisors is an integer number (164732295).

Almost surely, 2^25230787200 is an apocalyptic number.

25230787200 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 25230787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47442900960).

25230787200 is an abundant number, since it is smaller than the sum of its proper divisors (69655014720).

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

25230787200 is an equidigital number, since it uses as much as digits as its factorization.

25230787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 25230787200 in words is "twenty-five billion, two hundred thirty million, seven hundred eighty-seven thousand, two hundred".