16956660960 has 576 divisors, whose sum is σ = 63874863360. Its totient is φ = 4199869440.

The previous prime is 16956660907. The next prime is 16956660961. The reversal of 16956660960 is 6906665961.

It is a happy number.

16956660960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16956660897 and 16956660906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16956660961) 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 95 ways as a sum of consecutive naturals, for example, 129440095 + ... + 129440225.

It is an arithmetic number, because the mean of its divisors is an integer number (110893860).

Almost surely, 2^16956660960 is an apocalyptic number.

16956660960 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 16956660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31937431680).

16956660960 is an abundant number, since it is smaller than the sum of its proper divisors (46918202400).

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

16956660960 is a wasteful number, since it uses less digits than its factorization.

16956660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 16956660960 in words is "sixteen billion, nine hundred fifty-six million, six hundred sixty thousand, nine hundred sixty".