5059408896 has 264 divisors, whose sum is σ = 15849085824. Its totient is φ = 1548288000.

The previous prime is 5059408867. The next prime is 5059408903. The reversal of 5059408896 is 6988049505.

It is a happy number.

5059408896 is a `hidden beast` number, since 505 + 9 + 40 + 8 + 8 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6736521 + ... + 6737271.

It is an arithmetic number, because the mean of its divisors is an integer number (60034416).

Almost surely, 2^5059408896 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 5059408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924542912).

5059408896 is an abundant number, since it is smaller than the sum of its proper divisors (10789676928).

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

5059408896 is a wasteful number, since it uses less digits than its factorization.

5059408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5059408896 is about 71129.5219722444. The cubic root of 5059408896 is about 1716.7218180331.

The spelling of 5059408896 in words is "five billion, fifty-nine million, four hundred eight thousand, eight hundred ninety-six".