168388220805120 has 1120 divisors, whose sum is σ = 612504784184832. Its totient is φ = 44248981045248.

The previous prime is 168388220804933. The next prime is 168388220805137. The reversal of 168388220805120 is 21508022883861.

168388220805120 is a `hidden beast` number, since 1 + 6 + 8 + 388 + 2 + 208 + 0 + 51 + 2 + 0 = 666.

It is a super-3 number, since 3×168388220805120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 204602941029 + ... + 204602941851.

Almost surely, 2^{168388220805120} is an apocalyptic number.

168388220805120 is a gapful number since it is divisible by the number (10) 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 168388220805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306252392092416).

168388220805120 is an abundant number, since it is smaller than the sum of its proper divisors (444116563379712).

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

168388220805120 is an frugal number, since it uses more digits than its factorization.

168388220805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 168388220805120 in words is "one hundred sixty-eight trillion, three hundred eighty-eight billion, two hundred twenty million, eight hundred five thousand, one hundred twenty".