204817425120 has 1536 divisors, whose sum is σ = 982388736000. Its totient is φ = 38539100160.

The previous prime is 204817425089. The next prime is 204817425133. The reversal of 204817425120 is 21524718402.

204817425120 is a `hidden beast` number, since 20 + 4 + 81 + 7 + 42 + 512 + 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 255 ways as a sum of consecutive naturals, for example, 145362976 + ... + 145364384.

It is an arithmetic number, because the mean of its divisors is an integer number (639576000).

Almost surely, 2^204817425120 is an apocalyptic number.

204817425120 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 204817425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491194368000).

204817425120 is an abundant number, since it is smaller than the sum of its proper divisors (777571310880).

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

204817425120 is a wasteful number, since it uses less digits than its factorization.

204817425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 204817425120 in words is "two hundred four billion, eight hundred seventeen million, four hundred twenty-five thousand, one hundred twenty".