506785869408 has 192 divisors, whose sum is σ = 1668202324992. Its totient is φ = 131135846400.

The previous prime is 506785869407. The next prime is 506785869419. The reversal of 506785869408 is 804968587605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506785869407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84268 + ... + 1010283.

It is an arithmetic number, because the mean of its divisors is an integer number (8688553776).

Almost surely, 2^506785869408 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 506785869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834101162496).

506785869408 is an abundant number, since it is smaller than the sum of its proper divisors (1161416455584).

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

506785869408 is a wasteful number, since it uses less digits than its factorization.

506785869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094637 (or 1094629 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 506785869408 in words is "five hundred six billion, seven hundred eighty-five million, eight hundred sixty-nine thousand, four hundred eight".