5107864608 has 432 divisors, whose sum is σ = 19261779264. Its totient is φ = 1247109120.

The previous prime is 5107864589. The next prime is 5107864673. The reversal of 5107864608 is 8064687015.

It is a happy number.

5107864608 is a `hidden beast` number, since 5 + 107 + 86 + 460 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 6408466 + ... + 6409262.

It is an arithmetic number, because the mean of its divisors is an integer number (44587452).

Almost surely, 2^5107864608 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 5107864608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630889632).

5107864608 is an abundant number, since it is smaller than the sum of its proper divisors (14153914656).

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

5107864608 is a wasteful number, since it uses less digits than its factorization.

5107864608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5107864608 is about 71469.3263435441. The cubic root of 5107864608 is about 1722.1849607280.

The spelling of 5107864608 in words is "five billion, one hundred seven million, eight hundred sixty-four thousand, six hundred eight".