12884706576 has 480 divisors, whose sum is σ = 44457154560. Its totient is φ = 3406233600.

The previous prime is 12884706533. The next prime is 12884706587. The reversal of 12884706576 is 67560748821.

12884706576 is a `hidden beast` number, since 1 + 28 + 8 + 47 + 0 + 6 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114023896 + ... + 114024008.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 2^12884706576 is an apocalyptic number.

12884706576 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 12884706576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).

12884706576 is an abundant number, since it is smaller than the sum of its proper divisors (31572447984).

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

12884706576 is a wasteful number, since it uses less digits than its factorization.

12884706576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12884706576 in words is "twelve billion, eight hundred eighty-four million, seven hundred six thousand, five hundred seventy-six".