16929414960 has 640 divisors, whose sum is σ = 61436067840. Its totient is φ = 3832012800.

The previous prime is 16929414911. The next prime is 16929414961. The reversal of 16929414960 is 6941492961.

16929414960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16929414961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 133302417 + ... + 133302543.

It is an arithmetic number, because the mean of its divisors is an integer number (95993856).

Almost surely, 2^16929414960 is an apocalyptic number.

16929414960 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 16929414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718033920).

16929414960 is an abundant number, since it is smaller than the sum of its proper divisors (44506652880).

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

16929414960 is a wasteful number, since it uses less digits than its factorization.

16929414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 16929414960 in words is "sixteen billion, nine hundred twenty-nine million, four hundred fourteen thousand, nine hundred sixty".