516524088992 has 96 divisors (see below), whose sum is σ = 1098929099520. Its totient is φ = 238180884480.

The previous prime is 516524088989. The next prime is 516524089013. The reversal of 516524088992 is 299880425615.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11519288 + ... + 11564040.

It is an arithmetic number, because the mean of its divisors is an integer number (11447178120).

Almost surely, 2^516524088992 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 516524088992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549464549760).

516524088992 is an abundant number, since it is smaller than the sum of its proper divisors (582405010528).

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

516524088992 is a wasteful number, since it uses less digits than its factorization.

516524088992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45286 (or 45278 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 59.

The spelling of 516524088992 in words is "five hundred sixteen billion, five hundred twenty-four million, eighty-eight thousand, nine hundred ninety-two".