200005521021216 has 144 divisors (see below), whose sum is σ = 579846928732344. Its totient is φ = 65371127058432.

The previous prime is 200005521021197. The next prime is 200005521021217. The reversal of 200005521021216 is 612120125500002.

200005521021216 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 552 + 102 + 1 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125919907731216 + 74085613290000 = 11221404^2 + 8607300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 200005521021216.

It is not an unprimeable number, because it can be changed into a prime (200005521021217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21338590 + ... + 29246306.

Almost surely, 2^{200005521021216} 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 200005521021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289923464366172).

200005521021216 is an abundant number, since it is smaller than the sum of its proper divisors (379841407711128).

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

200005521021216 is a wasteful number, since it uses less digits than its factorization.

200005521021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909443 (or 7909432 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 200005521021216 its reverse (612120125500002), we get a palindrome (812125646521218).

The spelling of 200005521021216 in words is "two hundred trillion, five billion, five hundred twenty-one million, twenty-one thousand, two hundred sixteen".