225723420000 has 720 divisors, whose sum is σ = 909464315760. Its totient is φ = 52627968000.

The previous prime is 225723419983. The next prime is 225723420031. The reversal of 225723420000 is 24327522.

225723420000 is a `hidden beast` number, since 225 + 7 + 234 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44457462 + ... + 44462538.

It is an arithmetic number, because the mean of its divisors is an integer number (1263144883).

Almost surely, 2^225723420000 is an apocalyptic number.

225723420000 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 225723420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454732157880).

225723420000 is an abundant number, since it is smaller than the sum of its proper divisors (683740895760).

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

225723420000 is a wasteful number, since it uses less digits than its factorization.

225723420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 225723420000 its reverse (24327522), we get a palindrome (225747747522).

The spelling of 225723420000 in words is "two hundred twenty-five billion, seven hundred twenty-three million, four hundred twenty thousand".