225357811200 has 420 divisors, whose sum is σ = 837164086968. Its totient is φ = 60092928000.

The previous prime is 225357811183. The next prime is 225357811201. The reversal of 225357811200 is 2118753522.

225357811200 is a `hidden beast` number, since 2 + 2 + 53 + 578 + 11 + 20 + 0 = 666.

It is a super-2 number, since 2×225357811200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225357811201) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 9319125 + ... + 9343275.

Almost surely, 2^225357811200 is an apocalyptic number.

225357811200 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 225357811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418582043484).

225357811200 is an abundant number, since it is smaller than the sum of its proper divisors (611806275768).

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

225357811200 is an frugal number, since it uses more digits than its factorization.

225357811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24197 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 225357811200 in words is "two hundred twenty-five billion, three hundred fifty-seven million, eight hundred eleven thousand, two hundred".