12725238240 has 384 divisors, whose sum is σ = 52327296000. Its totient is φ = 2847467520.

The previous prime is 12725238223. The next prime is 12725238289. The reversal of 12725238240 is 4283252721.

12725238240 is a `hidden beast` number, since 1 + 27 + 252 + 382 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12725238195 and 12725238204.

It is a congruent number.

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, 607461 + ... + 628059.

It is an arithmetic number, because the mean of its divisors is an integer number (136269000).

Almost surely, 2^12725238240 is an apocalyptic number.

12725238240 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 12725238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26163648000).

12725238240 is an abundant number, since it is smaller than the sum of its proper divisors (39602057760).

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

12725238240 is a wasteful number, since it uses less digits than its factorization.

12725238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20633 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12725238240 in words is "twelve billion, seven hundred twenty-five million, two hundred thirty-eight thousand, two hundred forty".