518991699072 has 768 divisors, whose sum is σ = 1845358018560. Its totient is φ = 127604736000.

The previous prime is 518991699067. The next prime is 518991699131. The reversal of 518991699072 is 270996199815.

It is a super-2 number, since 2×518991699072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 518991698994 and 518991699012.

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 95 ways as a sum of consecutive naturals, for example, 301563172 + ... + 301564892.

It is an arithmetic number, because the mean of its divisors is an integer number (2402809920).

Almost surely, 2^518991699072 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 518991699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922679009280).

518991699072 is an abundant number, since it is smaller than the sum of its proper divisors (1326366319488).

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

518991699072 is a wasteful number, since it uses less digits than its factorization.

518991699072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 66.

The spelling of 518991699072 in words is "five hundred eighteen billion, nine hundred ninety-one million, six hundred ninety-nine thousand, seventy-two".