204016656220300 has 288 divisors, whose sum is σ = 555566306480640. Its totient is φ = 63174015590400.

The previous prime is 204016656220291. The next prime is 204016656220319. The reversal of 204016656220300 is 3022656610402.

It is a self number, because there is not a number n which added to its sum of digits gives 204016656220300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10407410299 + ... + 10407429901.

It is an arithmetic number, because the mean of its divisors is an integer number (1929049675280).

Almost surely, 2^{204016656220300} is an apocalyptic number.

204016656220300 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 204016656220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277783153240320).

204016656220300 is an abundant number, since it is smaller than the sum of its proper divisors (351549650260340).

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

204016656220300 is a wasteful number, since it uses less digits than its factorization.

204016656220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28401 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 204016656220300 in words is "two hundred four trillion, sixteen billion, six hundred fifty-six million, two hundred twenty thousand, three hundred".