193164120960 has 128 divisors (see below), whose sum is σ = 616066128000. Its totient is φ = 51480692736.

The previous prime is 193164120923. The next prime is 193164120971. The reversal of 193164120960 is 69021461391.

193164120960 is digitally balanced in base 2, 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 (128).

It is a super-2 number, since 2×193164120960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3402891 + ... + 3459189.

It is an arithmetic number, because the mean of its divisors is an integer number (4813016625).

Almost surely, 2^193164120960 is an apocalyptic number.

193164120960 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 193164120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308033064000).

193164120960 is an abundant number, since it is smaller than the sum of its proper divisors (422902007040).

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

193164120960 is a wasteful number, since it uses less digits than its factorization.

193164120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58108 (or 58096 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 193164120960 in words is "one hundred ninety-three billion, one hundred sixty-four million, one hundred twenty thousand, nine hundred sixty".