4559180564160 has 168 divisors, whose sum is σ = 16363493958240. Its totient is φ = 1162921402368.

The previous prime is 4559180564131. The next prime is 4559180564179. The reversal of 4559180564160 is 614650819554.

It is a happy number.

4559180564160 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 18 + 0 + 564 + 1 + 60 = 666.

It is a super-2 number, since 2×4559180564160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4559180564097 and 4559180564106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34347865 + ... + 34480344.

Almost surely, 2^{4559180564160} is an apocalyptic number.

4559180564160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4559180564160 is an abundant number, since it is smaller than the sum of its proper divisors (11804313394080).

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

4559180564160 is a wasteful number, since it uses less digits than its factorization.

4559180564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68828255 (or 68828242 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 4559180564160 in words is "four trillion, five hundred fifty-nine billion, one hundred eighty million, five hundred sixty-four thousand, one hundred sixty".