505168794208 has 192 divisors, whose sum is σ = 1150216200000. Its totient is φ = 216336236544.

The previous prime is 505168794203. The next prime is 505168794253. The reversal of 505168794208 is 802497861505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505168794203) 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 31 ways as a sum of consecutive naturals, for example, 146466468 + ... + 146469916.

It is an arithmetic number, because the mean of its divisors is an integer number (5990709375).

Almost surely, 2^505168794208 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 505168794208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575108100000).

505168794208 is an abundant number, since it is smaller than the sum of its proper divisors (645047405792).

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

505168794208 is a wasteful number, since it uses less digits than its factorization.

505168794208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 505168794208 in words is "five hundred five billion, one hundred sixty-eight million, seven hundred ninety-four thousand, two hundred eight".