16682924160 has 1536 divisors, whose sum is σ = 77861088000. Its totient is φ = 3344302080.

The previous prime is 16682924129. The next prime is 16682924207. The reversal of 16682924160 is 6142928661.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273490530 + ... + 273490590.

Almost surely, 2^16682924160 is an apocalyptic number.

16682924160 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 16682924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38930544000).

16682924160 is an abundant number, since it is smaller than the sum of its proper divisors (61178163840).

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

16682924160 is a wasteful number, since it uses less digits than its factorization.

16682924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16682924160 in words is "sixteen billion, six hundred eighty-two million, nine hundred twenty-four thousand, one hundred sixty".