225189311760 has 1200 divisors, whose sum is σ = 967776004800. Its totient is φ = 48252008448.

The previous prime is 225189311759. The next prime is 225189311773. The reversal of 225189311760 is 67113981522.

225189311760 is a `hidden beast` number, since 2 + 251 + 89 + 311 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×225189311760² (a number of 24 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 983359326 + ... + 983359554.

It is an arithmetic number, because the mean of its divisors is an integer number (806480004).

Almost surely, 2^225189311760 is an apocalyptic number.

225189311760 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 225189311760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483888002400).

225189311760 is an abundant number, since it is smaller than the sum of its proper divisors (742586693040).

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

225189311760 is a wasteful number, since it uses less digits than its factorization.

225189311760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 225189311760 in words is "two hundred twenty-five billion, one hundred eighty-nine million, three hundred eleven thousand, seven hundred sixty".