5093813308416 has 352 divisors, whose sum is σ = 16143338176512. Its totient is φ = 1397314437120.

The previous prime is 5093813308403. The next prime is 5093813308421. The reversal of 5093813308416 is 6148033183905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84631165 + ... + 84691331.

Almost surely, 2^{5093813308416} is an apocalyptic number.

5093813308416 is a gapful number since it is divisible by the number (56) 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 5093813308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071669088256).

5093813308416 is an abundant number, since it is smaller than the sum of its proper divisors (11049524868096).

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

5093813308416 is a wasteful number, since it uses less digits than its factorization.

5093813308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60355 (or 60337 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 5093813308416 in words is "five trillion, ninety-three billion, eight hundred thirteen million, three hundred eight thousand, four hundred sixteen".