16601664960 has 448 divisors, whose sum is σ = 64344499200. Its totient is φ = 4010840064.

The previous prime is 16601664923. The next prime is 16601664997. The reversal of 16601664960 is 6946610661.

16601664960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16601664923) and next prime (16601664997).

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

It is a congruent number.

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, 3773482 + ... + 3777878.

Almost surely, 2^16601664960 is an apocalyptic number.

16601664960 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 16601664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172249600).

16601664960 is an abundant number, since it is smaller than the sum of its proper divisors (47742834240).

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

16601664960 is a wasteful number, since it uses less digits than its factorization.

16601664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4449 counting only the distinct ones).

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

The spelling of 16601664960 in words is "sixteen billion, six hundred one million, six hundred sixty-four thousand, nine hundred sixty".