12361765160 has 64 divisors (see below), whose sum is σ = 28765670400. Its totient is φ = 4778182656.

The previous prime is 12361765159. The next prime is 12361765181. The reversal of 12361765160 is 6156716321.

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 15 ways as a sum of consecutive naturals, for example, 106904 + ... + 190136.

It is an arithmetic number, because the mean of its divisors is an integer number (449463600).

Almost surely, 2^12361765160 is an apocalyptic number.

12361765160 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 12361765160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382835200).

12361765160 is an abundant number, since it is smaller than the sum of its proper divisors (16403905240).

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

12361765160 is a wasteful number, since it uses less digits than its factorization.

12361765160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83370 (or 83366 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 12361765160 in words is "twelve billion, three hundred sixty-one million, seven hundred sixty-five thousand, one hundred sixty".