5005359116406 has 128 divisors (see below), whose sum is σ = 12169353530880. Its totient is φ = 1512387676800.

The previous prime is 5005359116371. The next prime is 5005359116413. The reversal of 5005359116406 is 6046119535005.

5005359116406 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 3 + 591 + 16 + 40 + 6 = 666.

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, 339546196 + ... + 339560936.

It is an arithmetic number, because the mean of its divisors is an integer number (95073074460).

Almost surely, 2^{5005359116406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005359116406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084676765440).

5005359116406 is an abundant number, since it is smaller than the sum of its proper divisors (7163994414474).

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

5005359116406 is a wasteful number, since it uses less digits than its factorization.

5005359116406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16379 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5005359116406 in words is "five trillion, five billion, three hundred fifty-nine million, one hundred sixteen thousand, four hundred six".