51338333184000 has 1792 divisors, whose sum is σ = 196674009292800. Its totient is φ = 11805917184000.

The previous prime is 51338333183971. The next prime is 51338333184007. The reversal of 51338333184000 is 48133383315.

It is a super-2 number, since 2×51338333184000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51338333184007) 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 127 ways as a sum of consecutive naturals, for example, 30759935166 + ... + 30759936834.

Almost surely, 2^{51338333184000} is an apocalyptic number.

51338333184000 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 51338333184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98337004646400).

51338333184000 is an abundant number, since it is smaller than the sum of its proper divisors (145335676108800).

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

51338333184000 is a wasteful number, since it uses less digits than its factorization.

51338333184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 51338333184000 in words is "fifty-one trillion, three hundred thirty-eight billion, three hundred thirty-three million, one hundred eighty-four thousand".