51138282216000 has 1792 divisors, whose sum is σ = 212299473125376. Its totient is φ = 10579968000000.

The previous prime is 51138282215971. The next prime is 51138282216023. The reversal of 51138282216000 is 61228283115.

It is a super-3 number, since 3×51138282216000³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51138282216000.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 8313812925 + ... + 8313819075.

It is an arithmetic number, because the mean of its divisors is an integer number (118470688128).

Almost surely, 2^{51138282216000} is an apocalyptic number.

51138282216000 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 51138282216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106149736562688).

51138282216000 is an abundant number, since it is smaller than the sum of its proper divisors (161161190909376).

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

51138282216000 is a wasteful number, since it uses less digits than its factorization.

51138282216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 51138282216000 in words is "fifty-one trillion, one hundred thirty-eight billion, two hundred eighty-two million, two hundred sixteen thousand".