505709867808 has 192 divisors, whose sum is σ = 1556038512000. Its totient is φ = 159346040832.

The previous prime is 505709867753. The next prime is 505709867809. The reversal of 505709867808 is 808768907505.

505709867808 is a `hidden beast` number, since 50 + 570 + 9 + 8 + 6 + 7 + 8 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (505709867809) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7468408 + ... + 7535816.

It is an arithmetic number, because the mean of its divisors is an integer number (8104367250).

Almost surely, 2^505709867808 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 505709867808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778019256000).

505709867808 is an abundant number, since it is smaller than the sum of its proper divisors (1050328644192).

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

505709867808 is a wasteful number, since it uses less digits than its factorization.

505709867808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67904 (or 67890 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 505709867808 in words is "five hundred five billion, seven hundred nine million, eight hundred sixty-seven thousand, eight hundred eight".