225240875328000 has 5120 divisors, whose sum is σ = 988352741376000. Its totient is φ = 44319965184000.

The previous prime is 225240875327971. The next prime is 225240875328011. The reversal of 225240875328000 is 823578042522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1620437951931 + ... + 1620437952069.

It is an arithmetic number, because the mean of its divisors is an integer number (193037644800).

Almost surely, 2^{225240875328000} is an apocalyptic number.

225240875328000 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 225240875328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494176370688000).

225240875328000 is an abundant number, since it is smaller than the sum of its proper divisors (763111866048000).

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

225240875328000 is a wasteful number, since it uses less digits than its factorization.

225240875328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 225240875328000 in words is "two hundred twenty-five trillion, two hundred forty billion, eight hundred seventy-five million, three hundred twenty-eight thousand".