12525448320 has 768 divisors, whose sum is σ = 55725096960. Its totient is φ = 2515968000.

The previous prime is 12525448303. The next prime is 12525448333. The reversal of 12525448320 is 2384452521.

12525448320 is a `hidden beast` number, since 12 + 5 + 2 + 544 + 83 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13748665 + ... + 13749575.

It is an arithmetic number, because the mean of its divisors is an integer number (72558720).

Almost surely, 2^12525448320 is an apocalyptic number.

12525448320 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 12525448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862548480).

12525448320 is an abundant number, since it is smaller than the sum of its proper divisors (43199648640).

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

12525448320 is a wasteful number, since it uses less digits than its factorization.

12525448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12525448320 in words is "twelve billion, five hundred twenty-five million, four hundred forty-eight thousand, three hundred twenty".