12059793464160 has 864 divisors, whose sum is σ = 43604048936448. Its totient is φ = 2798863441920.

The previous prime is 12059793464149. The next prime is 12059793464267. The reversal of 12059793464160 is 6146439795021.

It is a self number, because there is not a number n which added to its sum of digits gives 12059793464160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2933540505 + ... + 2933544615.

It is an arithmetic number, because the mean of its divisors is an integer number (50467649232).

Almost surely, 2^{12059793464160} is an apocalyptic number.

12059793464160 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 12059793464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802024468224).

12059793464160 is an abundant number, since it is smaller than the sum of its proper divisors (31544255472288).

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

12059793464160 is a wasteful number, since it uses less digits than its factorization.

12059793464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 12059793464160 in words is "twelve trillion, fifty-nine billion, seven hundred ninety-three million, four hundred sixty-four thousand, one hundred sixty".