516706728954 has 192 divisors, whose sum is σ = 1157041480320. Its totient is φ = 153702282240.

The previous prime is 516706728953. The next prime is 516706728959. The reversal of 516706728954 is 459827607615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516706728953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166380657 + ... + 1166381099.

It is an arithmetic number, because the mean of its divisors is an integer number (6026257710).

Almost surely, 2^516706728954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516706728954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578520740160).

516706728954 is an abundant number, since it is smaller than the sum of its proper divisors (640334751366).

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

516706728954 is a wasteful number, since it uses less digits than its factorization.

516706728954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 516706728954 in words is "five hundred sixteen billion, seven hundred six million, seven hundred twenty-eight thousand, nine hundred fifty-four".