51718163200 has 432 divisors, whose sum is σ = 144859228416. Its totient is φ = 18120294400.

The previous prime is 51718163131. The next prime is 51718163221. The reversal of 51718163200 is 236181715.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309689517 + ... + 309689683.

It is an arithmetic number, because the mean of its divisors is an integer number (335322288).

Almost surely, 2^51718163200 is an apocalyptic number.

51718163200 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 51718163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72429614208).

51718163200 is an abundant number, since it is smaller than the sum of its proper divisors (93141065216).

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

51718163200 is a wasteful number, since it uses less digits than its factorization.

51718163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 51718163200 in words is "fifty-one billion, seven hundred eighteen million, one hundred sixty-three thousand, two hundred".