225853916160 has 528 divisors, whose sum is σ = 777884498496. Its totient is φ = 55910596608.

The previous prime is 225853916131. The next prime is 225853916173. The reversal of 225853916160 is 61619358522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368440014 + ... + 368440626.

Almost surely, 2^225853916160 is an apocalyptic number.

225853916160 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 225853916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388942249248).

225853916160 is an abundant number, since it is smaller than the sum of its proper divisors (552030582336).

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

225853916160 is a wasteful number, since it uses less digits than its factorization.

225853916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 225853916160 in words is "two hundred twenty-five billion, eight hundred fifty-three million, nine hundred sixteen thousand, one hundred sixty".