500516124416 has 648 divisors, whose sum is σ = 1347184334160. Its totient is φ = 184655708160.

The previous prime is 500516124397. The next prime is 500516124419. The reversal of 500516124416 is 614421615005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500516124419) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3653402300 + ... + 3653402436.

It is an arithmetic number, because the mean of its divisors is an integer number (2078988170).

Almost surely, 2^500516124416 is an apocalyptic number.

500516124416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500516124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673592167080).

500516124416 is an abundant number, since it is smaller than the sum of its proper divisors (846668209744).

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

500516124416 is a wasteful number, since it uses less digits than its factorization.

500516124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 500516124416 in words is "five hundred billion, five hundred sixteen million, one hundred twenty-four thousand, four hundred sixteen".