204200564016 has 160 divisors (see below), whose sum is σ = 557885721600. Its totient is φ = 64234368000.

The previous prime is 204200563991. The next prime is 204200564047. The reversal of 204200564016 is 610465002402.

204200564016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 24834786 + ... + 24843006.

It is an arithmetic number, because the mean of its divisors is an integer number (3486785760).

Almost surely, 2^204200564016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204200564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278942860800).

204200564016 is an abundant number, since it is smaller than the sum of its proper divisors (353685157584).

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

204200564016 is a wasteful number, since it uses less digits than its factorization.

204200564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 204200564016 its reverse (610465002402), we get a palindrome (814665566418).

The spelling of 204200564016 in words is "two hundred four billion, two hundred million, five hundred sixty-four thousand, sixteen".