225005715349920 has 384 divisors, whose sum is σ = 790523334881280. Its totient is φ = 59773132846080.

The previous prime is 225005715349913. The next prime is 225005715349991. The reversal of 225005715349920 is 29943517500522.

225005715349920 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 571 + 5 + 3 + 49 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201198989 + ... + 1201386291.

It is an arithmetic number, because the mean of its divisors is an integer number (2058654517920).

Almost surely, 2^{225005715349920} is an apocalyptic number.

225005715349920 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 225005715349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395261667440640).

225005715349920 is an abundant number, since it is smaller than the sum of its proper divisors (565517619531360).

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

225005715349920 is a wasteful number, since it uses less digits than its factorization.

225005715349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188385 (or 188371 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 225005715349920 in words is "two hundred twenty-five trillion, five billion, seven hundred fifteen million, three hundred forty-nine thousand, nine hundred twenty".