12929323680 has 960 divisors, whose sum is σ = 59217903360. Its totient is φ = 2579890176.

The previous prime is 12929323643. The next prime is 12929323703. The reversal of 12929323680 is 8632392921.

It is a happy number.

12929323680 is a `hidden beast` number, since 129 + 293 + 236 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 22407552 + ... + 22408128.

It is an arithmetic number, because the mean of its divisors is an integer number (61685316).

Almost surely, 2^12929323680 is an apocalyptic number.

12929323680 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 12929323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29608951680).

12929323680 is an abundant number, since it is smaller than the sum of its proper divisors (46288579680).

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

12929323680 is a wasteful number, since it uses less digits than its factorization.

12929323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12929323680 in words is "twelve billion, nine hundred twenty-nine million, three hundred twenty-three thousand, six hundred eighty".