12165263760 has 320 divisors, whose sum is σ = 43047244800. Its totient is φ = 2817275904.

The previous prime is 12165263731. The next prime is 12165263807. The reversal of 12165263760 is 6736256121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9662011 + ... + 9663269.

It is an arithmetic number, because the mean of its divisors is an integer number (134522640).

Almost surely, 2^12165263760 is an apocalyptic number.

12165263760 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 12165263760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523622400).

12165263760 is an abundant number, since it is smaller than the sum of its proper divisors (30881981040).

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

12165263760 is a wasteful number, since it uses less digits than its factorization.

12165263760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 12165263760 in words is "twelve billion, one hundred sixty-five million, two hundred sixty-three thousand, seven hundred sixty".