168050064000 has 1024 divisors, whose sum is σ = 695749017600. Its totient is φ = 34936012800.

The previous prime is 168050063999. The next prime is 168050064001. The reversal of 168050064000 is 460050861.

168050064000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168050063999) and next prime (168050064001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (168050064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345071757 + ... + 345072243.

It is an arithmetic number, because the mean of its divisors is an integer number (679442400).

Almost surely, 2^168050064000 is an apocalyptic number.

168050064000 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 168050064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347874508800).

168050064000 is an abundant number, since it is smaller than the sum of its proper divisors (527698953600).

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

168050064000 is a wasteful number, since it uses less digits than its factorization.

168050064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 168050064000 in words is "one hundred sixty-eight billion, fifty million, sixty-four thousand".