16686187729920 has 2112 divisors, whose sum is σ = 65940497694720. Its totient is φ = 3991424532480.

The previous prime is 16686187729847. The next prime is 16686187729969. The reversal of 16686187729920 is 2992778168661.

16686187729920 is a `hidden beast` number, since 1 + 66 + 86 + 187 + 7 + 299 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131387304897 + ... + 131387305023.

It is an arithmetic number, because the mean of its divisors is an integer number (31221826560).

Almost surely, 2^{16686187729920} is an apocalyptic number.

16686187729920 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 16686187729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32970248847360).

16686187729920 is an abundant number, since it is smaller than the sum of its proper divisors (49254309964800).

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

16686187729920 is a wasteful number, since it uses less digits than its factorization.

16686187729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 16686187729920 in words is "sixteen trillion, six hundred eighty-six billion, one hundred eighty-seven million, seven hundred twenty-nine thousand, nine hundred twenty".