5684191656000 has 1792 divisors, whose sum is σ = 22775951278080. Its totient is φ = 1230827520000.

The previous prime is 5684191655941. The next prime is 5684191656023. The reversal of 5684191656000 is 6561914865.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21130823866 + ... + 21130824134.

It is an arithmetic number, because the mean of its divisors is an integer number (12709794240).

Almost surely, 2^{5684191656000} is an apocalyptic number.

5684191656000 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 5684191656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387975639040).

5684191656000 is an abundant number, since it is smaller than the sum of its proper divisors (17091759622080).

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

5684191656000 is a wasteful number, since it uses less digits than its factorization.

5684191656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 5684191656000 in words is "five trillion, six hundred eighty-four billion, one hundred ninety-one million, six hundred fifty-six thousand".