16956528768 has 128 divisors (see below), whose sum is σ = 50731617600. Its totient is φ = 5574666240.

The previous prime is 16956528767. The next prime is 16956528803. The reversal of 16956528768 is 86782565961.

16956528768 is a `hidden beast` number, since 1 + 6 + 9 + 565 + 2 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16956528761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 218683 + ... + 285893.

Almost surely, 2^16956528768 is an apocalyptic number.

16956528768 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 16956528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25365808800).

16956528768 is an abundant number, since it is smaller than the sum of its proper divisors (33775088832).

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

16956528768 is an equidigital number, since it uses as much as digits as its factorization.

16956528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67307 (or 67289 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 16956528768 in words is "sixteen billion, nine hundred fifty-six million, five hundred twenty-eight thousand, seven hundred sixty-eight".