505106011008 has 192 divisors, whose sum is σ = 1474701883200. Its totient is φ = 165926928384.

The previous prime is 505106011001. The next prime is 505106011019. The reversal of 505106011008 is 800110601505.

505106011008 is a `hidden beast` number, since 5 + 0 + 51 + 0 + 601 + 1 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505106011001) 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 23 ways as a sum of consecutive naturals, for example, 26697360 + ... + 26716272.

It is an arithmetic number, because the mean of its divisors is an integer number (7680738975).

Almost surely, 2^505106011008 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 505106011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737350941600).

505106011008 is an abundant number, since it is smaller than the sum of its proper divisors (969595872192).

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

505106011008 is a wasteful number, since it uses less digits than its factorization.

505106011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19269 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 505106011008 in words is "five hundred five billion, one hundred six million, eleven thousand, eight".