518066106768 has 160 divisors (see below), whose sum is σ = 1699869574400. Its totient is φ = 147984620544.

The previous prime is 518066106757. The next prime is 518066106863. The reversal of 518066106768 is 867601660815.

518066106768 is a `hidden beast` number, since 5 + 18 + 0 + 6 + 610 + 6 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14900028 + ... + 14934756.

It is an arithmetic number, because the mean of its divisors is an integer number (10624184840).

Almost surely, 2^518066106768 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 518066106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849934787200).

518066106768 is an abundant number, since it is smaller than the sum of its proper divisors (1181803467632).

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

518066106768 is a wasteful number, since it uses less digits than its factorization.

518066106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39686 (or 39674 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 518066106768 in words is "five hundred eighteen billion, sixty-six million, one hundred six thousand, seven hundred sixty-eight".