51200205200 has 120 divisors (see below), whose sum is σ = 124444118400. Its totient is φ = 20242414080.

The previous prime is 51200205187. The next prime is 51200205227. The reversal of 51200205200 is 250200215.

It is a super-2 number, since 2×51200205200² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13286474 + ... + 13290326.

It is an arithmetic number, because the mean of its divisors is an integer number (1037034320).

Almost surely, 2^51200205200 is an apocalyptic number.

51200205200 is a gapful number since it is divisible by the number (50) 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 51200205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62222059200).

51200205200 is an abundant number, since it is smaller than the sum of its proper divisors (73243913200).

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

51200205200 is a wasteful number, since it uses less digits than its factorization.

51200205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 51200205200 its reverse (250200215), we get a palindrome (51450405415).

The spelling of 51200205200 in words is "fifty-one billion, two hundred million, two hundred five thousand, two hundred".