225720383011200 has 1920 divisors, whose sum is σ = 1059691228992000. Its totient is φ = 46902733516800.

The previous prime is 225720383011187. The next prime is 225720383011213. The reversal of 225720383011200 is 2110383027522.

225720383011200 is a `hidden beast` number, since 2 + 2 + 5 + 72 + 0 + 383 + 0 + 1 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (225720383011187) and next prime (225720383011213).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 977846197 + ... + 978077003.

It is an arithmetic number, because the mean of its divisors is an integer number (551922515100).

Almost surely, 2^{225720383011200} is an apocalyptic number.

225720383011200 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 225720383011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529845614496000).

225720383011200 is an abundant number, since it is smaller than the sum of its proper divisors (833970845980800).

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

225720383011200 is a wasteful number, since it uses less digits than its factorization.

225720383011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230875 (or 230835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 225720383011200 in words is "two hundred twenty-five trillion, seven hundred twenty billion, three hundred eighty-three million, eleven thousand, two hundred".