5118382468320 has 384 divisors, whose sum is σ = 17976961400832. Its totient is φ = 1213699737600.

The previous prime is 5118382468219. The next prime is 5118382468351. The reversal of 5118382468320 is 238642838115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47556007 + ... + 47663513.

It is an arithmetic number, because the mean of its divisors is an integer number (46815003648).

Almost surely, 2^{5118382468320} 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 5118382468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988480700416).

5118382468320 is an abundant number, since it is smaller than the sum of its proper divisors (12858578932512).

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

5118382468320 is a wasteful number, since it uses less digits than its factorization.

5118382468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107734 (or 107726 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 5118382468320 in words is "five trillion, one hundred eighteen billion, three hundred eighty-two million, four hundred sixty-eight thousand, three hundred twenty".