10929432168 has 256 divisors, whose sum is σ = 33214464000. Its totient is φ = 3317241600.

The previous prime is 10929432139. The next prime is 10929432179. The reversal of 10929432168 is 86123492901.

10929432168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34477546 + ... + 34477862.

It is an arithmetic number, because the mean of its divisors is an integer number (129744000).

Almost surely, 2^10929432168 is an apocalyptic number.

10929432168 is a gapful number since it is divisible by the number (18) 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 10929432168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607232000).

10929432168 is an abundant number, since it is smaller than the sum of its proper divisors (22285031832).

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

10929432168 is a wasteful number, since it uses less digits than its factorization.

10929432168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10929432168 in words is "ten billion, nine hundred twenty-nine million, four hundred thirty-two thousand, one hundred sixty-eight".