12837652504320 has 2304 divisors, whose sum is σ = 52880641228800. Its totient is φ = 2588489809920.

The previous prime is 12837652504319. The next prime is 12837652504333. The reversal of 12837652504320 is 2340525673821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12837652504320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74206083754 + ... + 74206083926.

It is an arithmetic number, because the mean of its divisors is an integer number (22951667200).

Almost surely, 2^{12837652504320} is an apocalyptic number.

12837652504320 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 12837652504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440320614400).

12837652504320 is an abundant number, since it is smaller than the sum of its proper divisors (40042988724480).

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

12837652504320 is a wasteful number, since it uses less digits than its factorization.

12837652504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 12837652504320 in words is "twelve trillion, eight hundred thirty-seven billion, six hundred fifty-two million, five hundred four thousand, three hundred twenty".