5117809680 has 120 divisors (see below), whose sum is σ = 17256395520. Its totient is φ = 1359264000.

The previous prime is 5117809651. The next prime is 5117809699. The reversal of 5117809680 is 869087115.

5117809680 is a `hidden beast` number, since 511 + 78 + 0 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 166561 + ... + 194879.

It is an arithmetic number, because the mean of its divisors is an integer number (143803296).

Almost surely, 2^5117809680 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 5117809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628197760).

5117809680 is an abundant number, since it is smaller than the sum of its proper divisors (12138585840).

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

5117809680 is a wasteful number, since it uses less digits than its factorization.

5117809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28589 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 5117809680 is about 71538.8683164614. The cubic root of 5117809680 is about 1723.3019408557.

The spelling of 5117809680 in words is "five billion, one hundred seventeen million, eight hundred nine thousand, six hundred eighty".