225285192000 has 896 divisors, whose sum is σ = 919213401600. Its totient is φ = 53554176000.

The previous prime is 225285191987. The next prime is 225285192007. The reversal of 225285192000 is 291582522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225285192007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125927106 + ... + 125928894.

Almost surely, 2^225285192000 is an apocalyptic number.

225285192000 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 225285192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459606700800).

225285192000 is an abundant number, since it is smaller than the sum of its proper divisors (693928209600).

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

225285192000 is a wasteful number, since it uses less digits than its factorization.

225285192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 225285192000 in words is "two hundred twenty-five billion, two hundred eighty-five million, one hundred ninety-two thousand".