506535394368 has 112 divisors (see below), whose sum is σ = 1399936158720. Its totient is φ = 161335663104.

The previous prime is 506535394367. The next prime is 506535394403. The reversal of 506535394368 is 863493535605.

It is a Cunningham number, because it is equal to 711713²-1.

It is a super-2 number, since 2×506535394368² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506535394363) 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 15 ways as a sum of consecutive naturals, for example, 4210963 + ... + 4329581.

Almost surely, 2^506535394368 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 506535394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699968079360).

506535394368 is an abundant number, since it is smaller than the sum of its proper divisors (893400764352).

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

506535394368 is a wasteful number, since it uses less digits than its factorization.

506535394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119624 (or 119614 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 57.

The spelling of 506535394368 in words is "five hundred six billion, five hundred thirty-five million, three hundred ninety-four thousand, three hundred sixty-eight".