225327543120 has 840 divisors, whose sum is σ = 865037055960. Its totient is φ = 54484254720.

The previous prime is 225327543037. The next prime is 225327543127. The reversal of 225327543120 is 21345723522.

225327543120 is a `hidden beast` number, since 2 + 2 + 532 + 75 + 4 + 31 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13554547776 + 211772995344 = 116424^2 + 460188^2 .

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 (225327543127) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 488779690 + ... + 488780150.

It is an arithmetic number, because the mean of its divisors is an integer number (1029806019).

Almost surely, 2^225327543120 is an apocalyptic number.

225327543120 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 225327543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432518527980).

225327543120 is an abundant number, since it is smaller than the sum of its proper divisors (639709512840).

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

225327543120 is a wasteful number, since it uses less digits than its factorization.

225327543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 225327543120 in words is "two hundred twenty-five billion, three hundred twenty-seven million, five hundred forty-three thousand, one hundred twenty".