5109596328960 has 440 divisors, whose sum is σ = 18804823061640. Its totient is φ = 1325729120256.

The previous prime is 5109596328959. The next prime is 5109596328971. The reversal of 5109596328960 is 698236959015.

5109596328960 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 596 + 32 + 8 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1943815947264 + 3165780381696 = 1394208^2 + 1779264^2 .

It is a super-2 number, since 2×5109596328960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15178146 + ... + 15511134.

It is an arithmetic number, because the mean of its divisors is an integer number (42738234231).

Almost surely, 2^{5109596328960} 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 5109596328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402411530820).

5109596328960 is an abundant number, since it is smaller than the sum of its proper divisors (13695226732680).

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

5109596328960 is a wasteful number, since it uses less digits than its factorization.

5109596328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333063 (or 333036 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 5109596328960 in words is "five trillion, one hundred nine billion, five hundred ninety-six million, three hundred twenty-eight thousand, nine hundred sixty".