12265791605760 has 2112 divisors, whose sum is σ = 53894720839680. Its totient is φ = 2320131686400.

The previous prime is 12265791605723. The next prime is 12265791605789. The reversal of 12265791605760 is 6750619756221.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 12265791605760.

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 191 ways as a sum of consecutive naturals, for example, 6856226946 + ... + 6856228734.

Almost surely, 2^{12265791605760} is an apocalyptic number.

12265791605760 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 12265791605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26947360419840).

12265791605760 is an abundant number, since it is smaller than the sum of its proper divisors (41628929233920).

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

12265791605760 is a wasteful number, since it uses less digits than its factorization.

12265791605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 12265791605760 in words is "twelve trillion, two hundred sixty-five billion, seven hundred ninety-one million, six hundred five thousand, seven hundred sixty".