25350221221200 has 720 divisors, whose sum is σ = 96619758618240. Its totient is φ = 6129269637120.

The previous prime is 25350221221159. The next prime is 25350221221289. The reversal of 25350221221200 is 212212205352.

25350221221200 is a `hidden beast` number, since 2 + 535 + 0 + 2 + 2 + 1 + 2 + 2 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192040821 + ... + 192172779.

It is an arithmetic number, because the mean of its divisors is an integer number (134194109192).

Almost surely, 2^{25350221221200} is an apocalyptic number.

25350221221200 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 25350221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48309879309120).

25350221221200 is an abundant number, since it is smaller than the sum of its proper divisors (71269537397040).

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

25350221221200 is a wasteful number, since it uses less digits than its factorization.

25350221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132116 (or 132102 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25350221221200 its reverse (212212205352), we get a palindrome (25562433426552).

The spelling of 25350221221200 in words is "twenty-five trillion, three hundred fifty billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".