12728569136976 has 360 divisors, whose sum is σ = 45144748259520. Its totient is φ = 3276860590080.

The previous prime is 12728569136971. The next prime is 12728569136993. The reversal of 12728569136976 is 67963196582721.

12728569136976 is a `hidden beast` number, since 1 + 2 + 7 + 28 + 569 + 1 + 36 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728569136971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13320615 + ... + 14244153.

Almost surely, 2^{12728569136976} is an apocalyptic number.

12728569136976 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 12728569136976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572374129760).

12728569136976 is an abundant number, since it is smaller than the sum of its proper divisors (32416179122544).

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

12728569136976 is a wasteful number, since it uses less digits than its factorization.

12728569136976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923695 (or 923675 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 12728569136976 in words is "twelve trillion, seven hundred twenty-eight billion, five hundred sixty-nine million, one hundred thirty-six thousand, nine hundred seventy-six".