225205012800 has 420 divisors, whose sum is σ = 831319786176. Its totient is φ = 60046272000.

The previous prime is 225205012789. The next prime is 225205012801. The reversal of 225205012800 is 8210502522.

225205012800 is a `hidden beast` number, since 2 + 2 + 520 + 50 + 12 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225205012801) 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 59 ways as a sum of consecutive naturals, for example, 31489225 + ... + 31496375.

Almost surely, 2^225205012800 is an apocalyptic number.

225205012800 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 225205012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415659893088).

225205012800 is an abundant number, since it is smaller than the sum of its proper divisors (606114773376).

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

225205012800 is an frugal number, since it uses more digits than its factorization.

225205012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 225205012800 in words is "two hundred twenty-five billion, two hundred five million, twelve thousand, eight hundred".