200005000000 has 448 divisors, whose sum is σ = 568819637568. Its totient is φ = 69120000000.

The previous prime is 200004999937. The next prime is 200005000021. The reversal of 200005000000 is 500002.

It can be written as a sum of positive squares in 32 ways, for example, as 1951518976 + 198053481024 = 44176^2 + 445032^2 .

It is a sliding number, since 200005000000 = 5000000 + 200000000000 and 1/5000000 + 1/200000000000 = 0.000000200005000000.

It is a congruent number.

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, 1104999910 + ... + 1105000090.

It is an arithmetic number, because the mean of its divisors is an integer number (1269686691).

Almost surely, 2^200005000000 is an apocalyptic number.

200005000000 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 200005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284409818784).

200005000000 is an abundant number, since it is smaller than the sum of its proper divisors (368814637568).

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

200005000000 is an frugal number, since it uses more digits than its factorization.

200005000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Adding to 200005000000 its reverse (500002), we get a palindrome (200005500002).

It can be divided in two parts, 20000 and 5000000, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 200005000000 in words is "two hundred billion, five million", and thus it is an aban number.