506679500160 has 192 divisors, whose sum is σ = 1852547280480. Its totient is φ = 127166595072.

The previous prime is 506679500141. The next prime is 506679500167. The reversal of 506679500160 is 61005976605.

506679500160 is a `hidden beast` number, since 5 + 0 + 66 + 79 + 500 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506679500167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489292 + ... + 2685131.

Almost surely, 2^506679500160 is an apocalyptic number.

It is an amenable number.

506679500160 is an abundant number, since it is smaller than the sum of its proper divisors (1345867780320).

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

506679500160 is a wasteful number, since it uses less digits than its factorization.

506679500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174465 (or 5174450 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 506679500160 in words is "five hundred six billion, six hundred seventy-nine million, five hundred thousand, one hundred sixty".