12557328000 has 768 divisors, whose sum is σ = 51153897600. Its totient is φ = 2709504000.

The previous prime is 12557327957. The next prime is 12557328079. The reversal of 12557328000 is 82375521.

12557328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44687860 + ... + 44688140.

Almost surely, 2^12557328000 is an apocalyptic number.

12557328000 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 12557328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576948800).

12557328000 is an abundant number, since it is smaller than the sum of its proper divisors (38596569600).

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

12557328000 is a wasteful number, since it uses less digits than its factorization.

12557328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 12557328000 in words is "twelve billion, five hundred fifty-seven million, three hundred twenty-eight thousand".