225953628160 has 240 divisors, whose sum is σ = 586663513632. Its totient is φ = 83047219200.

The previous prime is 225953628139. The next prime is 225953628163. The reversal of 225953628160 is 61826359522.

It is not an unprimeable number, because it can be changed into a prime (225953628163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352501440 + ... + 352502080.

Almost surely, 2^225953628160 is an apocalyptic number.

225953628160 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 225953628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293331756816).

225953628160 is an abundant number, since it is smaller than the sum of its proper divisors (360709885472).

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

225953628160 is an equidigital number, since it uses as much as digits as its factorization.

225953628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 225953628160 in words is "two hundred twenty-five billion, nine hundred fifty-three million, six hundred twenty-eight thousand, one hundred sixty".