506503008160 has 96 divisors (see below), whose sum is σ = 1250927701632. Its totient is φ = 193437404160.

The previous prime is 506503008139. The next prime is 506503008173. The reversal of 506503008160 is 61800305605.

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, 1887150 + ... + 2138770.

It is an arithmetic number, because the mean of its divisors is an integer number (13030496892).

Almost surely, 2^506503008160 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 506503008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625463850816).

506503008160 is an abundant number, since it is smaller than the sum of its proper divisors (744424693472).

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

506503008160 is a wasteful number, since it uses less digits than its factorization.

506503008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252206 (or 252198 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 506503008160 in words is "five hundred six billion, five hundred three million, eight thousand, one hundred sixty".