518920387348608 has 640 divisors, whose sum is σ = 1779928386192000. Its totient is φ = 147614382415872.

The previous prime is 518920387348567. The next prime is 518920387348631. The reversal of 518920387348608 is 806843783029815.

518920387348608 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 2 + 0 + 3 + 8 + 7 + 3 + 4 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4038572428 + ... + 4038700916.

It is an arithmetic number, because the mean of its divisors is an integer number (2781138103425).

It is a 1-persistent number, because it is pandigital, but 2⋅518920387348608 = 1037840774697216 is not.

Almost surely, 2^{518920387348608} 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 518920387348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889964193096000).

518920387348608 is an abundant number, since it is smaller than the sum of its proper divisors (1261007998843392).

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

518920387348608 is an frugal number, since it uses more digits than its factorization.

518920387348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128766 (or 128730 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 518920387348608 in words is "five hundred eighteen trillion, nine hundred twenty billion, three hundred eighty-seven million, three hundred forty-eight thousand, six hundred eight".