161728920320 has 144 divisors (see below), whose sum is σ = 427360419360. Its totient is φ = 58149273600.

The previous prime is 161728920293. The next prime is 161728920377. The reversal of 161728920320 is 23029827161.

161728920320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1188590 + ... + 1317650.

It is an arithmetic number, because the mean of its divisors is an integer number (2967780690).

Almost surely, 2^161728920320 is an apocalyptic number.

161728920320 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 161728920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213680209680).

161728920320 is an abundant number, since it is smaller than the sum of its proper divisors (265631499040).

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

161728920320 is a wasteful number, since it uses less digits than its factorization.

161728920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129182 (or 129168 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 161728920320 in words is "one hundred sixty-one billion, seven hundred twenty-eight million, nine hundred twenty thousand, three hundred twenty".