5321859379200 has 3744 divisors, whose sum is σ = 25554284421120. Its totient is φ = 1027709337600.

The previous prime is 5321859379171. The next prime is 5321859379217. The reversal of 5321859379200 is 29739581235.

5321859379200 is a `hidden beast` number, since 5 + 3 + 2 + 18 + 59 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 59796172756 + ... + 59796172844.

It is an arithmetic number, because the mean of its divisors is an integer number (6825396480).

Almost surely, 2^{5321859379200} is an apocalyptic number.

5321859379200 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 5321859379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777142210560).

5321859379200 is an abundant number, since it is smaller than the sum of its proper divisors (20232425041920).

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

5321859379200 is a wasteful number, since it uses less digits than its factorization.

5321859379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5321859379200 in words is "five trillion, three hundred twenty-one billion, eight hundred fifty-nine million, three hundred seventy-nine thousand, two hundred".