505388835042 has 192 divisors, whose sum is σ = 1278777507840. Its totient is φ = 131975028864.

The previous prime is 505388835037. The next prime is 505388835043. The reversal of 505388835042 is 240538883505.

It is not an unprimeable number, because it can be changed into a prime (505388835043) 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 95 ways as a sum of consecutive naturals, for example, 401420209 + ... + 401421467.

It is an arithmetic number, because the mean of its divisors is an integer number (6660299520).

Almost surely, 2^505388835042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505388835042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639388753920).

505388835042 is an abundant number, since it is smaller than the sum of its proper divisors (773388672798).

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

505388835042 is a wasteful number, since it uses less digits than its factorization.

505388835042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 505388835042 in words is "five hundred five billion, three hundred eighty-eight million, eight hundred thirty-five thousand, forty-two".