168087366720 has 1344 divisors, whose sum is σ = 778370052096. Its totient is φ = 32275169280.

The previous prime is 168087366677. The next prime is 168087366731. The reversal of 168087366720 is 27663780861.

168087366720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138115552 + ... + 138116768.

It is an arithmetic number, because the mean of its divisors is an integer number (579144384).

Almost surely, 2^168087366720 is an apocalyptic number.

168087366720 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 168087366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389185026048).

168087366720 is an abundant number, since it is smaller than the sum of its proper divisors (610282685376).

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

168087366720 is a wasteful number, since it uses less digits than its factorization.

168087366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 168087366720 in words is "one hundred sixty-eight billion, eighty-seven million, three hundred sixty-six thousand, seven hundred twenty".