505510608006 has 144 divisors (see below), whose sum is σ = 1230176900160. Its totient is φ = 149576129280.

The previous prime is 505510607983. The next prime is 505510608019. The reversal of 505510608006 is 600806015505.

505510608006 is a `hidden beast` number, since 5 + 0 + 5 + 510 + 60 + 80 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22424961 + ... + 22447491.

It is an arithmetic number, because the mean of its divisors is an integer number (8542895140).

Almost surely, 2^505510608006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505510608006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615088450080).

505510608006 is an abundant number, since it is smaller than the sum of its proper divisors (724666292154).

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

505510608006 is a wasteful number, since it uses less digits than its factorization.

505510608006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 505510608006 in words is "five hundred five billion, five hundred ten million, six hundred eight thousand, six".