506123135216 has 80 divisors (see below), whose sum is σ = 1032999285600. Its totient is φ = 239873270784.

The previous prime is 506123135207. The next prime is 506123135237. The reversal of 506123135216 is 612531321605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21149690 + ... + 21173606.

It is an arithmetic number, because the mean of its divisors is an integer number (12912491070).

Almost surely, 2^506123135216 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 506123135216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516499642800).

506123135216 is an abundant number, since it is smaller than the sum of its proper divisors (526876150384).

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

506123135216 is a wasteful number, since it uses less digits than its factorization.

506123135216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24786 (or 24780 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 506123135216 in words is "five hundred six billion, one hundred twenty-three million, one hundred thirty-five thousand, two hundred sixteen".