5178933964800 has 936 divisors, whose sum is σ = 19966661404560. Its totient is φ = 1278266572800.

The previous prime is 5178933964777. The next prime is 5178933964801. The reversal of 5178933964800 is 84693398715.

5178933964800 is a `hidden beast` number, since 51 + 78 + 9 + 3 + 39 + 6 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178933964801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 955696491 + ... + 955701909.

It is an arithmetic number, because the mean of its divisors is an integer number (21331903210).

Almost surely, 2^{5178933964800} is an apocalyptic number.

5178933964800 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 5178933964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983330702280).

5178933964800 is an abundant number, since it is smaller than the sum of its proper divisors (14787727439760).

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

5178933964800 is a wasteful number, since it uses less digits than its factorization.

5178933964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 5178933964800 in words is "five trillion, one hundred seventy-eight billion, nine hundred thirty-three million, nine hundred sixty-four thousand, eight hundred".