5176221388800 has 1872 divisors, whose sum is σ = 22253522683392. Its totient is φ = 1049119948800.

The previous prime is 5176221388781. The next prime is 5176221388829. The reversal of 5176221388800 is 88831226715.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7119974037 + ... + 7119974763.

It is an arithmetic number, because the mean of its divisors is an integer number (11887565536).

Almost surely, 2^{5176221388800} is an apocalyptic number.

5176221388800 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 5176221388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126761341696).

5176221388800 is an abundant number, since it is smaller than the sum of its proper divisors (17077301294592).

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

5176221388800 is a wasteful number, since it uses less digits than its factorization.

5176221388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 5176221388800 in words is "five trillion, one hundred seventy-six billion, two hundred twenty-one million, three hundred eighty-eight thousand, eight hundred".