12528668160 has 480 divisors, whose sum is σ = 47569991040. Its totient is φ = 3033268224.

The previous prime is 12528668107. The next prime is 12528668179. The reversal of 12528668160 is 6186682521.

12528668160 is a `hidden beast` number, since 1 + 2 + 528 + 6 + 68 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358169 + ... + 11359271.

It is an arithmetic number, because the mean of its divisors is an integer number (99104148).

Almost surely, 2^12528668160 is an apocalyptic number.

12528668160 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 12528668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784995520).

12528668160 is an abundant number, since it is smaller than the sum of its proper divisors (35041322880).

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

12528668160 is a wasteful number, since it uses less digits than its factorization.

12528668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12528668160 in words is "twelve billion, five hundred twenty-eight million, six hundred sixty-eight thousand, one hundred sixty".