516704458816 has 224 divisors, whose sum is σ = 1312065683712. Its totient is φ = 196442357760.

The previous prime is 516704458813. The next prime is 516704458847. The reversal of 516704458816 is 618854407615.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (516704458813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15982380 + ... + 16014676.

It is an arithmetic number, because the mean of its divisors is an integer number (5857436088).

Almost surely, 2^516704458816 is an apocalyptic number.

516704458816 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 516704458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656032841856).

516704458816 is an abundant number, since it is smaller than the sum of its proper divisors (795361224896).

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

516704458816 is a wasteful number, since it uses less digits than its factorization.

516704458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32437 (or 32427 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 516704458816 in words is "five hundred sixteen billion, seven hundred four million, four hundred fifty-eight thousand, eight hundred sixteen".