225603237600 has 648 divisors, whose sum is σ = 884894191272. Its totient is φ = 54021427200.

The previous prime is 225603237593. The next prime is 225603237659. The reversal of 225603237600 is 6732306522.

It is a happy number.

225603237600 is a `hidden beast` number, since 2 + 2 + 560 + 3 + 2 + 37 + 60 + 0 = 666.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45019095 + ... + 45024105.

Almost surely, 2^225603237600 is an apocalyptic number.

225603237600 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 225603237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442447095636).

225603237600 is an abundant number, since it is smaller than the sum of its proper divisors (659290953672).

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

225603237600 is a wasteful number, since it uses less digits than its factorization.

225603237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 225603 and 237600, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 225603237600 in words is "two hundred twenty-five billion, six hundred three million, two hundred thirty-seven thousand, six hundred".