518668920000 has 2520 divisors, whose sum is σ = 2466352202160. Its totient is φ = 107775360000.

The previous prime is 518668919999. The next prime is 518668920013. The reversal of 518668920000 is 29866815.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 47151719995 + ... + 47151720005.

Almost surely, 2^518668920000 is an apocalyptic number.

518668920000 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 518668920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233176101080).

518668920000 is an abundant number, since it is smaller than the sum of its proper divisors (1947683282160).

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

518668920000 is an frugal number, since it uses more digits than its factorization.

518668920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 518668920000 in words is "five hundred eighteen billion, six hundred sixty-eight million, nine hundred twenty thousand".