225009718577280 has 2304 divisors, whose sum is σ = 1009838544249600. Its totient is φ = 46362728595456.

The previous prime is 225009718577257. The next prime is 225009718577291. The reversal of 225009718577280 is 82775817900522.

225009718577280 is a `hidden beast` number, since 2 + 2 + 50 + 0 + 9 + 7 + 1 + 8 + 577 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 37797698784 + ... + 37797704736.

It is an arithmetic number, because the mean of its divisors is an integer number (438297979275).

Almost surely, 2^{225009718577280} is an apocalyptic number.

225009718577280 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 225009718577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504919272124800).

225009718577280 is an abundant number, since it is smaller than the sum of its proper divisors (784828825672320).

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

225009718577280 is a wasteful number, since it uses less digits than its factorization.

225009718577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 225009718577280 in words is "two hundred twenty-five trillion, nine billion, seven hundred eighteen million, five hundred seventy-seven thousand, two hundred eighty".