167120232960 has 320 divisors, whose sum is σ = 540148321152. Its totient is φ = 44077940736.

The previous prime is 167120232959. The next prime is 167120232991. The reversal of 167120232960 is 69232021761.

167120232960 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 (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 448043334 + ... + 448043706.

Almost surely, 2^167120232960 is an apocalyptic number.

167120232960 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 167120232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270074160576).

167120232960 is an abundant number, since it is smaller than the sum of its proper divisors (373028088192).

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

167120232960 is a wasteful number, since it uses less digits than its factorization.

167120232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 167120232960 in words is "one hundred sixty-seven billion, one hundred twenty million, two hundred thirty-two thousand, nine hundred sixty".