5005116480 has 896 divisors, whose sum is σ = 21236318208. Its totient is φ = 969965568.

The previous prime is 5005116463. The next prime is 5005116481. The reversal of 5005116480 is 846115005.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5005116481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94436134 + ... + 94436186.

It is an arithmetic number, because the mean of its divisors is an integer number (23701248).

Almost surely, 2^5005116480 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 5005116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618159104).

5005116480 is an abundant number, since it is smaller than the sum of its proper divisors (16231201728).

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

5005116480 is a wasteful number, since it uses less digits than its factorization.

5005116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5005116480 is about 70746.8478449747. The cubic root of 5005116480 is about 1710.5590183524.

The spelling of 5005116480 in words is "five billion, five million, one hundred sixteen thousand, four hundred eighty".