225500441113200 has 720 divisors, whose sum is σ = 815776104487680. Its totient is φ = 53185999257600.

The previous prime is 225500441113177. The next prime is 225500441113253. The reversal of 225500441113200 is 2311144005522.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 830843917 + ... + 831115283.

It is an arithmetic number, because the mean of its divisors is an integer number (1133022367344).

Almost surely, 2^{225500441113200} is an apocalyptic number.

225500441113200 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 225500441113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407888052243840).

225500441113200 is an abundant number, since it is smaller than the sum of its proper divisors (590275663374480).

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

225500441113200 is a wasteful number, since it uses less digits than its factorization.

225500441113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271566 (or 271544 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 225500441113200 its reverse (2311144005522), we get a palindrome (227811585118722).

The spelling of 225500441113200 in words is "two hundred twenty-five trillion, five hundred billion, four hundred forty-one million, one hundred thirteen thousand, two hundred".