51041320200 has 576 divisors, whose sum is σ = 201812083200. Its totient is φ = 11440742400.

The previous prime is 51041320189. The next prime is 51041320201. The reversal of 51041320200 is 202314015.

51041320200 is a `hidden beast` number, since 51 + 0 + 413 + 2 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51041320201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 12329731 + ... + 12333869.

It is an arithmetic number, because the mean of its divisors is an integer number (350368200).

Almost surely, 2^51041320200 is an apocalyptic number.

51041320200 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 51041320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100906041600).

51041320200 is an abundant number, since it is smaller than the sum of its proper divisors (150770763000).

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

51041320200 is a wasteful number, since it uses less digits than its factorization.

51041320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 51041320200 its reverse (202314015), we get a palindrome (51243634215).

The spelling of 51041320200 in words is "fifty-one billion, forty-one million, three hundred twenty thousand, two hundred".