12825546912 has 192 divisors, whose sum is σ = 39976675200. Its totient is φ = 3986288640.

The previous prime is 12825546869. The next prime is 12825546949. The reversal of 12825546912 is 21964552821.

12825546912 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 554 + 6 + 91 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596987 + ... + 1604997.

It is an arithmetic number, because the mean of its divisors is an integer number (208211850).

Almost surely, 2^12825546912 is an apocalyptic number.

12825546912 is a gapful number since it is divisible by the number (12) 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 12825546912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988337600).

12825546912 is an abundant number, since it is smaller than the sum of its proper divisors (27151128288).

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

12825546912 is a wasteful number, since it uses less digits than its factorization.

12825546912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8142 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 12825546912 in words is "twelve billion, eight hundred twenty-five million, five hundred forty-six thousand, nine hundred twelve".