225385670160 has 240 divisors, whose sum is σ = 865593705600. Its totient is φ = 51484446720.

The previous prime is 225385670123. The next prime is 225385670173. The reversal of 225385670160 is 61076583522.

225385670160 is a `hidden beast` number, since 2 + 2 + 538 + 56 + 7 + 0 + 1 + 60 = 666.

225385670160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 8549800 + ... + 8576120.

It is an arithmetic number, because the mean of its divisors is an integer number (3606640440).

Almost surely, 2^225385670160 is an apocalyptic number.

225385670160 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 225385670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432796852800).

225385670160 is an abundant number, since it is smaller than the sum of its proper divisors (640208035440).

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

225385670160 is a wasteful number, since it uses less digits than its factorization.

225385670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28046 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 225385670160 in words is "two hundred twenty-five billion, three hundred eighty-five million, six hundred seventy thousand, one hundred sixty".