5382818193984 has 896 divisors, whose sum is σ = 19996058234880. Its totient is φ = 1233675878400.

The previous prime is 5382818193941. The next prime is 5382818194037. The reversal of 5382818193984 is 4893918182835.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 463191694 + ... + 463203314.

It is an arithmetic number, because the mean of its divisors is an integer number (22317029280).

Almost surely, 2^{5382818193984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382818193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998029117440).

5382818193984 is an abundant number, since it is smaller than the sum of its proper divisors (14613240040896).

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

5382818193984 is a wasteful number, since it uses less digits than its factorization.

5382818193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11777 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 69.

The spelling of 5382818193984 in words is "five trillion, three hundred eighty-two billion, eight hundred eighteen million, one hundred ninety-three thousand, nine hundred eighty-four".