51115700800 has 84 divisors (see below), whose sum is σ = 125892425380. Its totient is φ = 20427448320.

The previous prime is 51115700789. The next prime is 51115700809. The reversal of 51115700800 is 800751115.

It can be written as a sum of positive squares in 6 ways, for example, as 17415553024 + 33700147776 = 131968^2 + 183576^2 .

It is a super-2 number, since 2×51115700800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51115700809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1792252 + ... + 1820548.

Almost surely, 2^51115700800 is an apocalyptic number.

51115700800 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 51115700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62946212690).

51115700800 is an abundant number, since it is smaller than the sum of its proper divisors (74776724580).

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

51115700800 is a wasteful number, since it uses less digits than its factorization.

51115700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29448 (or 29433 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 51115700800 in words is "fifty-one billion, one hundred fifteen million, seven hundred thousand, eight hundred".