12528146880 has 336 divisors, whose sum is σ = 44911426560. Its totient is φ = 3324146688.

The previous prime is 12528146863. The next prime is 12528146921. The reversal of 12528146880 is 8864182521.

12528146880 is a `hidden beast` number, since 1 + 2 + 528 + 1 + 46 + 8 + 80 = 666.

12528146880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28537701 + ... + 28538139.

It is an arithmetic number, because the mean of its divisors is an integer number (133664960).

Almost surely, 2^12528146880 is an apocalyptic number.

12528146880 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 12528146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455713280).

12528146880 is an abundant number, since it is smaller than the sum of its proper divisors (32383279680).

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

12528146880 is an equidigital number, since it uses as much as digits as its factorization.

12528146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12528146880 in words is "twelve billion, five hundred twenty-eight million, one hundred forty-six thousand, eight hundred eighty".