225135424800 has 864 divisors, whose sum is σ = 936671299200. Its totient is φ = 50164531200.

The previous prime is 225135424793. The next prime is 225135424823. The reversal of 225135424800 is 8424531522.

225135424800 is a `hidden beast` number, since 2 + 2 + 5 + 135 + 42 + 480 + 0 = 666.

225135424800 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 (36).

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 143 ways as a sum of consecutive naturals, for example, 462290157 + ... + 462290643.

It is an arithmetic number, because the mean of its divisors is an integer number (1084110300).

Almost surely, 2^225135424800 is an apocalyptic number.

225135424800 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 225135424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468335649600).

225135424800 is an abundant number, since it is smaller than the sum of its proper divisors (711535874400).

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

225135424800 is a wasteful number, since it uses less digits than its factorization.

225135424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 225135424800 in words is "two hundred twenty-five billion, one hundred thirty-five million, four hundred twenty-four thousand, eight hundred".