168165950680 has 256 divisors, whose sum is σ = 478104883200. Its totient is φ = 51821752320.

The previous prime is 168165950669. The next prime is 168165950681. The reversal of 168165950680 is 86059561861.

168165950680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168165950681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20987875 + ... + 20995885.

It is an arithmetic number, because the mean of its divisors is an integer number (1867597200).

Almost surely, 2^168165950680 is an apocalyptic number.

168165950680 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 168165950680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239052441600).

168165950680 is an abundant number, since it is smaller than the sum of its proper divisors (309938932520).

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

168165950680 is a wasteful number, since it uses less digits than its factorization.

168165950680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 168165950680 in words is "one hundred sixty-eight billion, one hundred sixty-five million, nine hundred fifty thousand, six hundred eighty".