168540058132992 has 1920 divisors, whose sum is σ = 634015843388928. Its totient is φ = 43514147635200.

The previous prime is 168540058132991. The next prime is 168540058133089. The reversal of 168540058132992 is 299231850045861.

168540058132992 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 40 + 0 + 581 + 3 + 2 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (168540058132991) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 191305400392 + ... + 191305401272.

Almost surely, 2^{168540058132992} is an apocalyptic number.

168540058132992 is a gapful number since it is divisible by the number (12) 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 168540058132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317007921694464).

168540058132992 is an abundant number, since it is smaller than the sum of its proper divisors (465475785255936).

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

168540058132992 is an equidigital number, since it uses as much as digits as its factorization.

168540058132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 168540058132992 in words is "one hundred sixty-eight trillion, five hundred forty billion, fifty-eight million, one hundred thirty-two thousand, nine hundred ninety-two".