518120838144 has 1584 divisors, whose sum is σ = 2022485783040. Its totient is φ = 130427781120.

The previous prime is 518120838121. The next prime is 518120838173. The reversal of 518120838144 is 441838021815.

518120838144 is a `hidden beast` number, since 518 + 12 + 0 + 8 + 3 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 518120838144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7097545692 + ... + 7097545764.

Almost surely, 2^518120838144 is an apocalyptic number.

518120838144 is a gapful number since it is divisible by the number (54) 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 518120838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011242891520).

518120838144 is an abundant number, since it is smaller than the sum of its proper divisors (1504364944896).

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

518120838144 is a wasteful number, since it uses less digits than its factorization.

518120838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

Adding to 518120838144 its reverse (441838021815), we get a palindrome (959958859959).

The spelling of 518120838144 in words is "five hundred eighteen billion, one hundred twenty million, eight hundred thirty-eight thousand, one hundred forty-four".