12909528576 has 440 divisors, whose sum is σ = 44942648784. Its totient is φ = 3627970560.

The previous prime is 12909528563. The next prime is 12909528581. The reversal of 12909528576 is 67582590921.

12909528576 is a `hidden beast` number, since 1 + 290 + 9 + 5 + 285 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 43 ways as a sum of consecutive naturals, for example, 211631586 + ... + 211631646.

Almost surely, 2^12909528576 is an apocalyptic number.

12909528576 is a gapful number since it is divisible by the number (16) 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 12909528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22471324392).

12909528576 is an abundant number, since it is smaller than the sum of its proper divisors (32033120208).

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

12909528576 is an frugal number, since it uses more digits than its factorization.

12909528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12909528576 in words is "twelve billion, nine hundred nine million, five hundred twenty-eight thousand, five hundred seventy-six".