16680129910560 has 1344 divisors, whose sum is σ = 64243794384000. Its totient is φ = 4076871450624.

The previous prime is 16680129910553. The next prime is 16680129910571. The reversal of 16680129910560 is 6501992108661.

16680129910560 is a `hidden beast` number, since 1 + 6 + 68 + 0 + 1 + 2 + 9 + 9 + 10 + 560 = 666.

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 = 16680129910497 and 16680129910506.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10768320666 + ... + 10768322214.

It is an arithmetic number, because the mean of its divisors is an integer number (47800442250).

Almost surely, 2^{16680129910560} is an apocalyptic number.

16680129910560 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 16680129910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32121897192000).

16680129910560 is an abundant number, since it is smaller than the sum of its proper divisors (47563664473440).

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

16680129910560 is a wasteful number, since it uses less digits than its factorization.

16680129910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 16680129910560 in words is "sixteen trillion, six hundred eighty billion, one hundred twenty-nine million, nine hundred ten thousand, five hundred sixty".