518196330900 has 432 divisors, whose sum is σ = 1801220964480. Its totient is φ = 127709913600.

The previous prime is 518196330889. The next prime is 518196330901. The reversal of 518196330900 is 9033691815.

518196330900 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 9 + 633 + 0 + 9 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518196330901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39956217 + ... + 39969183.

Almost surely, 2^518196330900 is an apocalyptic number.

518196330900 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 518196330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900610482240).

518196330900 is an abundant number, since it is smaller than the sum of its proper divisors (1283024633580).

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

518196330900 is a wasteful number, since it uses less digits than its factorization.

518196330900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 518196330900 in words is "five hundred eighteen billion, one hundred ninety-six million, three hundred thirty thousand, nine hundred".