225564130080 has 1152 divisors, whose sum is σ = 910171987200. Its totient is φ = 51980009472.

The previous prime is 225564130039. The next prime is 225564130147. The reversal of 225564130080 is 80031465522.

225564130080 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 641 + 3 + 0 + 0 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877681312 + ... + 877681568.

It is an arithmetic number, because the mean of its divisors is an integer number (790079850).

Almost surely, 2^225564130080 is an apocalyptic number.

225564130080 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 225564130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455085993600).

225564130080 is an abundant number, since it is smaller than the sum of its proper divisors (684607857120).

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

225564130080 is a wasteful number, since it uses less digits than its factorization.

225564130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 225564130080 in words is "two hundred twenty-five billion, five hundred sixty-four million, one hundred thirty thousand, eighty".