5059289664 has 336 divisors, whose sum is σ = 17174626560. Its totient is φ = 1403781120.

The previous prime is 5059289659. The next prime is 5059289687. The reversal of 5059289664 is 4669829505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5059289664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19685824 + ... + 19686080.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 2^5059289664 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 5059289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587313280).

5059289664 is an abundant number, since it is smaller than the sum of its proper divisors (12115336896).

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

5059289664 is a wasteful number, since it uses less digits than its factorization.

5059289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5059289664 is about 71128.6838343013. The cubic root of 5059289664 is about 1716.7083322823.

The spelling of 5059289664 in words is "five billion, fifty-nine million, two hundred eighty-nine thousand, six hundred sixty-four".