506840924160 has 1080 divisors, whose sum is σ = 1950238364256. Its totient is φ = 126127964160.

The previous prime is 506840924141. The next prime is 506840924167. The reversal of 506840924160 is 61429048605.

506840924160 is a `hidden beast` number, since 5 + 0 + 68 + 409 + 24 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (506840924167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12361973740 + ... + 12361973780.

Almost surely, 2^506840924160 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 506840924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975119182128).

506840924160 is an abundant number, since it is smaller than the sum of its proper divisors (1443397440096).

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

506840924160 is an frugal number, since it uses more digits than its factorization.

506840924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 506840924160 in words is "five hundred six billion, eight hundred forty million, nine hundred twenty-four thousand, one hundred sixty".