518380340800 has 168 divisors, whose sum is σ = 1458196768640. Its totient is φ = 177677107200.

The previous prime is 518380340783. The next prime is 518380340851. The reversal of 518380340800 is 8043083815.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62368645 + ... + 62376955.

Almost surely, 2^518380340800 is an apocalyptic number.

518380340800 is a gapful number since it is divisible by the number (50) 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 518380340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729098384320).

518380340800 is an abundant number, since it is smaller than the sum of its proper divisors (939816427840).

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

518380340800 is a wasteful number, since it uses less digits than its factorization.

518380340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 518380340800 in words is "five hundred eighteen billion, three hundred eighty million, three hundred forty thousand, eight hundred".