12395824960 has 224 divisors, whose sum is σ = 32388048000. Its totient is φ = 4500873216.

The previous prime is 12395824939. The next prime is 12395824963. The reversal of 12395824960 is 6942859321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12395824963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40377127 + ... + 40377433.

It is an arithmetic number, because the mean of its divisors is an integer number (144589500).

Almost surely, 2^12395824960 is an apocalyptic number.

12395824960 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 12395824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194024000).

12395824960 is an abundant number, since it is smaller than the sum of its proper divisors (19992223040).

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

12395824960 is a wasteful number, since it uses less digits than its factorization.

12395824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 12395824960 in words is "twelve billion, three hundred ninety-five million, eight hundred twenty-four thousand, nine hundred sixty".