558180168 has 192 divisors, whose sum is σ = 1809864000. Its totient is φ = 142023168.

The previous prime is 558180163. The next prime is 558180199. The reversal of 558180168 is 861081855.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (558180163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442723 + ... + 443981.

It is an arithmetic number, because the mean of its divisors is an integer number (9426375).

Almost surely, 2^558180168 is an apocalyptic number.

558180168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558180168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

558180168 is an abundant number, since it is smaller than the sum of its proper divisors (1251683832).

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

558180168 is a wasteful number, since it uses less digits than its factorization.

558180168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The square root of 558180168 is about 23625.8368740665. The cubic root of 558180168 is about 823.3632283105.

The spelling of 558180168 in words is "five hundred fifty-eight million, one hundred eighty thousand, one hundred sixty-eight".