12171790459360 has 192 divisors, whose sum is σ = 34800144462720. Its totient is φ = 3927349002240.

The previous prime is 12171790459289. The next prime is 12171790459379. The reversal of 12171790459360 is 6395409717121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284226750 + ... + 284269570.

It is an arithmetic number, because the mean of its divisors is an integer number (181250752410).

Almost surely, 2^{12171790459360} is an apocalyptic number.

12171790459360 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 12171790459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400072231360).

12171790459360 is an abundant number, since it is smaller than the sum of its proper divisors (22628354003360).

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

12171790459360 is a wasteful number, since it uses less digits than its factorization.

12171790459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57789 (or 57781 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 12171790459360 in words is "twelve trillion, one hundred seventy-one billion, seven hundred ninety million, four hundred fifty-nine thousand, three hundred sixty".