506540416160 has 24 divisors (see below), whose sum is σ = 1196701733556. Its totient is φ = 202616166400.

The previous prime is 506540416147. The next prime is 506540416169. The reversal of 506540416160 is 61614045605.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 494991045136 + 11549371024 = 703556^2 + 107468^2 .

It is not an unprimeable number, because it can be changed into a prime (506540416169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1582938641 + ... + 1582938960.

Almost surely, 2^506540416160 is an apocalyptic number.

It is an amenable number.

506540416160 is an abundant number, since it is smaller than the sum of its proper divisors (690161317396).

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

506540416160 is a wasteful number, since it uses less digits than its factorization.

506540416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165877616 (or 3165877608 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 506540416160 in words is "five hundred six billion, five hundred forty million, four hundred sixteen thousand, one hundred sixty".