225563127600 has 120 divisors (see below), whose sum is σ = 724738103872. Its totient is φ = 59968339200.

The previous prime is 225563127509. The next prime is 225563127617. The reversal of 225563127600 is 6721365522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113259 + ... + 681141.

Almost surely, 2^225563127600 is an apocalyptic number.

225563127600 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 225563127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362369051936).

225563127600 is an abundant number, since it is smaller than the sum of its proper divisors (499174976272).

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

225563127600 is a wasteful number, since it uses less digits than its factorization.

225563127600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568235 (or 568224 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 225563127600 in words is "two hundred twenty-five billion, five hundred sixty-three million, one hundred twenty-seven thousand, six hundred".