225006885180 has 1344 divisors, whose sum is σ = 930753331200. Its totient is φ = 44325066240.

The previous prime is 225006885163. The next prime is 225006885199. The reversal of 225006885180 is 81588600522.

225006885180 is a `hidden beast` number, since 2 + 2 + 50 + 0 + 6 + 88 + 518 + 0 = 666.

225006885180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2848188381 + ... + 2848188459.

It is an arithmetic number, because the mean of its divisors is an integer number (692524800).

Almost surely, 2^225006885180 is an apocalyptic number.

225006885180 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 225006885180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465376665600).

225006885180 is an abundant number, since it is smaller than the sum of its proper divisors (705746446020).

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

225006885180 is a wasteful number, since it uses less digits than its factorization.

225006885180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 225006885180 in words is "two hundred twenty-five billion, six million, eight hundred eighty-five thousand, one hundred eighty".