12837144960 has 192 divisors, whose sum is σ = 44394480000. Its totient is φ = 3418128384.

The previous prime is 12837144937. The next prime is 12837144961. The reversal of 12837144960 is 6944173821.

12837144960 is a `hidden beast` number, since 1 + 2 + 83 + 71 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12837144961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349841 + ... + 5352239.

It is an arithmetic number, because the mean of its divisors is an integer number (231221250).

Almost surely, 2^12837144960 is an apocalyptic number.

12837144960 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 12837144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240000).

12837144960 is an abundant number, since it is smaller than the sum of its proper divisors (31557335040).

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

12837144960 is a wasteful number, since it uses less digits than its factorization.

12837144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12837144960 in words is "twelve billion, eight hundred thirty-seven million, one hundred forty-four thousand, nine hundred sixty".