51338643148800 has 1404 divisors, whose sum is σ = 217424171891316. Its totient is φ = 11541558067200.

The previous prime is 51338643148747. The next prime is 51338643148867. The reversal of 51338643148800 is 884134683315.

51338643148800 is a `hidden beast` number, since 5 + 1 + 3 + 386 + 43 + 148 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26969492422656 + 24369150726144 = 5193216^2 + 4936512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2754653082 + ... + 2754671718.

Almost surely, 2^{51338643148800} is an apocalyptic number.

51338643148800 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 51338643148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108712085945658).

51338643148800 is an abundant number, since it is smaller than the sum of its proper divisors (166085528742516).

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

51338643148800 is a wasteful number, since it uses less digits than its factorization.

51338643148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18752 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 51338643148800 in words is "fifty-one trillion, three hundred thirty-eight billion, six hundred forty-three million, one hundred forty-eight thousand, eight hundred".