506090108160 has 2304 divisors, whose sum is σ = 2373525504000. Its totient is φ = 99214295040.

The previous prime is 506090108149. The next prime is 506090108201. The reversal of 506090108160 is 61801090605.

506090108160 is a `hidden beast` number, since 506 + 0 + 9 + 0 + 10 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×506090108160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2827318951 + ... + 2827319129.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176000).

Almost surely, 2^506090108160 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 506090108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186762752000).

506090108160 is an abundant number, since it is smaller than the sum of its proper divisors (1867435395840).

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

506090108160 is a wasteful number, since it uses less digits than its factorization.

506090108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 506090108160 its reverse (61801090605), we get a palindrome (567891198765).

The spelling of 506090108160 in words is "five hundred six billion, ninety million, one hundred eight thousand, one hundred sixty".