518133127680 has 400 divisors, whose sum is σ = 2120907824640. Its totient is φ = 118430097408.

The previous prime is 518133127679. The next prime is 518133127727. The reversal of 518133127680 is 86721331815.

It is a happy number.

518133127680 is a `hidden beast` number, since 518 + 1 + 3 + 3 + 127 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1273041 + ... + 1629999.

Almost surely, 2^518133127680 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 518133127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060453912320).

518133127680 is an abundant number, since it is smaller than the sum of its proper divisors (1602774696960).

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

518133127680 is an equidigital number, since it uses as much as digits as its factorization.

518133127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357001 (or 356976 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 518133127680 in words is "five hundred eighteen billion, one hundred thirty-three million, one hundred twenty-seven thousand, six hundred eighty".