516458049536 has 208 divisors, whose sum is σ = 1216951679328. Its totient is φ = 216052531200.

The previous prime is 516458049509. The next prime is 516458049581. The reversal of 516458049536 is 635940854615.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232532906 + ... + 232535126.

Almost surely, 2^516458049536 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 516458049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608475839664).

516458049536 is an abundant number, since it is smaller than the sum of its proper divisors (700493629792).

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

516458049536 is a wasteful number, since it uses less digits than its factorization.

516458049536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 516458049536 in words is "five hundred sixteen billion, four hundred fifty-eight million, forty-nine thousand, five hundred thirty-six".