16686873530208 has 576 divisors, whose sum is σ = 55767216960000. Its totient is φ = 4730919975936.

The previous prime is 16686873530137. The next prime is 16686873530251. The reversal of 16686873530208 is 80203537868661.

It is a happy number.

16686873530208 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 6 + 8 + 73 + 530 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13067245666 + ... + 13067246942.

It is an arithmetic number, because the mean of its divisors is an integer number (96818085000).

Almost surely, 2^{16686873530208} is an apocalyptic number.

16686873530208 is a gapful number since it is divisible by the number (18) 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 16686873530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27883608480000).

16686873530208 is an abundant number, since it is smaller than the sum of its proper divisors (39080343429792).

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

16686873530208 is a wasteful number, since it uses less digits than its factorization.

16686873530208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 16686873530208 in words is "sixteen trillion, six hundred eighty-six billion, eight hundred seventy-three million, five hundred thirty thousand, two hundred eight".