518961712864320 has 1680 divisors, whose sum is σ = 2195490641572800. Its totient is φ = 115076459151360.

The previous prime is 518961712864277. The next prime is 518961712864327. The reversal of 518961712864320 is 23468217169815.

It is a happy number.

518961712864320 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 6 + 171 + 28 + 6 + 432 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (518961712864327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4555875526 + ... + 4555989434.

It is a 2-persistent number, because it is pandigital, and so is 2⋅518961712864320 = 1037923425728640, but 3⋅518961712864320 = 1556885138592960 is not.

Almost surely, 2^{518961712864320} 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 518961712864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097745320786400).

518961712864320 is an abundant number, since it is smaller than the sum of its proper divisors (1676528928708480).

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

518961712864320 is a wasteful number, since it uses less digits than its factorization.

518961712864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114026 (or 113978 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 518961712864320 in words is "five hundred eighteen trillion, nine hundred sixty-one billion, seven hundred twelve million, eight hundred sixty-four thousand, three hundred twenty".