516500001160 has 256 divisors, whose sum is σ = 1423912089600. Its totient is φ = 166042828800.

The previous prime is 516500001091. The next prime is 516500001163. The reversal of 516500001160 is 61100005615.

It is not an unprimeable number, because it can be changed into a prime (516500001163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17185026 + ... + 17215054.

It is an arithmetic number, because the mean of its divisors is an integer number (5562156600).

Almost surely, 2^516500001160 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 516500001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711956044800).

516500001160 is an abundant number, since it is smaller than the sum of its proper divisors (907412088440).

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

516500001160 is a wasteful number, since it uses less digits than its factorization.

516500001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30192 (or 30188 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 516500001160 its reverse (61100005615), we get a palindrome (577600006775).

The spelling of 516500001160 in words is "five hundred sixteen billion, five hundred million, one thousand, one hundred sixty".