225253638720 has 420 divisors, whose sum is σ = 880743561852. Its totient is φ = 54606182400.

The previous prime is 225253638713. The next prime is 225253638791. The reversal of 225253638720 is 27836352522.

225253638720 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 3 + 638 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22883217984 + 202370420736 = 151272^2 + 449856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3100410 + ... + 3172230.

Almost surely, 2^225253638720 is an apocalyptic number.

225253638720 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 225253638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440371780926).

225253638720 is an abundant number, since it is smaller than the sum of its proper divisors (655489923132).

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

225253638720 is a wasteful number, since it uses less digits than its factorization.

225253638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71872 (or 71842 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 225253638720 in words is "two hundred twenty-five billion, two hundred fifty-three million, six hundred thirty-eight thousand, seven hundred twenty".