5104160375328 has 576 divisors, whose sum is σ = 17977017139200. Its totient is φ = 1403339696640.

The previous prime is 5104160375317. The next prime is 5104160375333. The reversal of 5104160375328 is 8235730614015.

It is a happy number.

5104160375328 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 1 + 603 + 7 + 5 + 32 + 8 = 666.

It is a super-2 number, since 2×5104160375328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234911601 + ... + 234933327.

It is an arithmetic number, because the mean of its divisors is an integer number (31210099200).

Almost surely, 2^{5104160375328} 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 5104160375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988508569600).

5104160375328 is an abundant number, since it is smaller than the sum of its proper divisors (12872856763872).

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

5104160375328 is a wasteful number, since it uses less digits than its factorization.

5104160375328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21970 (or 21949 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5104160375328 in words is "five trillion, one hundred four billion, one hundred sixty million, three hundred seventy-five thousand, three hundred twenty-eight".