506418766500 has 192 divisors, whose sum is σ = 1494830937600. Its totient is φ = 133208064000.

The previous prime is 506418766481. The next prime is 506418766537. The reversal of 506418766500 is 5667814605.

It is a self number, because there is not a number n which added to its sum of digits gives 506418766500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58602180 + ... + 58610820.

It is an arithmetic number, because the mean of its divisors is an integer number (7785577800).

Almost surely, 2^506418766500 is an apocalyptic number.

506418766500 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 506418766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747415468800).

506418766500 is an abundant number, since it is smaller than the sum of its proper divisors (988412171100).

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

506418766500 is a wasteful number, since it uses less digits than its factorization.

506418766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 506418766500 in words is "five hundred six billion, four hundred eighteen million, seven hundred sixty-six thousand, five hundred".