225009861120 has 800 divisors, whose sum is σ = 917618232960. Its totient is φ = 52164034560.

The previous prime is 225009861119. The next prime is 225009861121. The reversal of 225009861120 is 21168900522.

225009861120 is a `hidden beast` number, since 2 + 2 + 500 + 98 + 61 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225009861119) and next prime (225009861121).

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

It is not an unprimeable number, because it can be changed into a prime (225009861121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52459936 + ... + 52464224.

Almost surely, 2^225009861120 is an apocalyptic number.

225009861120 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 225009861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458809116480).

225009861120 is an abundant number, since it is smaller than the sum of its proper divisors (692608371840).

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

225009861120 is a wasteful number, since it uses less digits than its factorization.

225009861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 225009861120 in words is "two hundred twenty-five billion, nine million, eight hundred sixty-one thousand, one hundred twenty".