12628823580576 has 768 divisors, whose sum is σ = 47165946347520. Its totient is φ = 3202540830720.

The previous prime is 12628823580557. The next prime is 12628823580587. The reversal of 12628823580576 is 67508532882621.

12628823580576 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 8 + 2 + 3 + 58 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167860920 + ... + 167936136.

It is an arithmetic number, because the mean of its divisors is an integer number (61413992640).

Almost surely, 2^{12628823580576} is an apocalyptic number.

12628823580576 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 12628823580576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23582973173760).

12628823580576 is an abundant number, since it is smaller than the sum of its proper divisors (34537122766944).

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

12628823580576 is a wasteful number, since it uses less digits than its factorization.

12628823580576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75354 (or 75340 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 12628823580576 in words is "twelve trillion, six hundred twenty-eight billion, eight hundred twenty-three million, five hundred eighty thousand, five hundred seventy-six".