12929166059680 has 192 divisors, whose sum is σ = 33069835008000. Its totient is φ = 4748487045120.

The previous prime is 12929166059599. The next prime is 12929166059753. The reversal of 12929166059680 is 8695066192921.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 452862046 + ... + 452890594.

It is an arithmetic number, because the mean of its divisors is an integer number (172238724000).

Almost surely, 2^{12929166059680} is an apocalyptic number.

12929166059680 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 12929166059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534917504000).

12929166059680 is an abundant number, since it is smaller than the sum of its proper divisors (20140668948320).

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

12929166059680 is a wasteful number, since it uses less digits than its factorization.

12929166059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29727 (or 29719 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

The spelling of 12929166059680 in words is "twelve trillion, nine hundred twenty-nine billion, one hundred sixty-six million, fifty-nine thousand, six hundred eighty".