16680506752 has 512 divisors, whose sum is σ = 46884096000. Its totient is φ = 5722472448.

The previous prime is 16680506749. The next prime is 16680506813. The reversal of 16680506752 is 25760508661.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147615048 + ... + 147615160.

It is an arithmetic number, because the mean of its divisors is an integer number (91570500).

Almost surely, 2^16680506752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16680506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048000).

16680506752 is an abundant number, since it is smaller than the sum of its proper divisors (30203589248).

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

16680506752 is a wasteful number, since it uses less digits than its factorization.

16680506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 16680506752 in words is "sixteen billion, six hundred eighty million, five hundred six thousand, seven hundred fifty-two".