225051754400 has 144 divisors (see below), whose sum is σ = 612107072640. Its totient is φ = 80095641600.

The previous prime is 225051754397. The next prime is 225051754423. The reversal of 225051754400 is 4457150522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141536 + ... + 685664.

It is an arithmetic number, because the mean of its divisors is an integer number (4250743560).

Almost surely, 2^225051754400 is an apocalyptic number.

225051754400 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 225051754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306053536320).

225051754400 is an abundant number, since it is smaller than the sum of its proper divisors (387055318240).

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

225051754400 is a wasteful number, since it uses less digits than its factorization.

225051754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544207 (or 544194 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 225051754400 in words is "two hundred twenty-five billion, fifty-one million, seven hundred fifty-four thousand, four hundred".