518228180865720 has 1280 divisors, whose sum is σ = 2086240119828480. Its totient is φ = 114079021056000.

The previous prime is 518228180865719. The next prime is 518228180865727. The reversal of 518228180865720 is 27568081822815.

518228180865720 is a `hidden beast` number, since 5 + 182 + 281 + 80 + 86 + 5 + 7 + 20 = 666.

It is a super-2 number, since 2×518228180865720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518228180865727) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2486702725 + ... + 2486911115.

It is an arithmetic number, because the mean of its divisors is an integer number (1629875093616).

Almost surely, 2^{518228180865720} 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 518228180865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043120059914240).

518228180865720 is an abundant number, since it is smaller than the sum of its proper divisors (1568011938962760).

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

518228180865720 is a wasteful number, since it uses less digits than its factorization.

518228180865720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208618 (or 208605 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 518228180865720 in words is "five hundred eighteen trillion, two hundred twenty-eight billion, one hundred eighty million, eight hundred sixty-five thousand, seven hundred twenty".