5217168844800 has 864 divisors, whose sum is σ = 20460735116640. Its totient is φ = 1259952537600.

The previous prime is 5217168844793. The next prime is 5217168844837. The reversal of 5217168844800 is 84488617125.

5217168844800 is a `hidden beast` number, since 5 + 21 + 7 + 1 + 68 + 84 + 480 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1434468582 + ... + 1434472218.

It is an arithmetic number, because the mean of its divisors is an integer number (23681406385).

Almost surely, 2^{5217168844800} is an apocalyptic number.

5217168844800 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 5217168844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230367558320).

5217168844800 is an abundant number, since it is smaller than the sum of its proper divisors (15243566271840).

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

5217168844800 is a wasteful number, since it uses less digits than its factorization.

5217168844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 5217168844800 in words is "five trillion, two hundred seventeen billion, one hundred sixty-eight million, eight hundred forty-four thousand, eight hundred".