225601139200 has 120 divisors (see below), whose sum is σ = 559438250580. Its totient is φ = 90160742400.

The previous prime is 225601139171. The next prime is 225601139263. The reversal of 225601139200 is 2931106522.

225601139200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 82934784256 + 142666354944 = 287984^2 + 377712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15724030 + ... + 15738370.

Almost surely, 2^225601139200 is an apocalyptic number.

225601139200 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 225601139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279719125290).

225601139200 is an abundant number, since it is smaller than the sum of its proper divisors (333837111380).

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

225601139200 is a wasteful number, since it uses less digits than its factorization.

225601139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15598 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 225601139200 in words is "two hundred twenty-five billion, six hundred one million, one hundred thirty-nine thousand, two hundred".