16686285291072 has 336 divisors, whose sum is σ = 52503288277440. Its totient is φ = 5245401950208.

The previous prime is 16686285291041. The next prime is 16686285291079. The reversal of 16686285291072 is 27019258268661.

16686285291072 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 6 + 28 + 529 + 10 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (16686285291079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18963138 + ... + 19823550.

It is an arithmetic number, because the mean of its divisors is an integer number (156259786540).

Almost surely, 2^{16686285291072} is an apocalyptic number.

16686285291072 is a gapful number since it is divisible by the number (12) 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 16686285291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26251644138720).

16686285291072 is an abundant number, since it is smaller than the sum of its proper divisors (35817002986368).

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

16686285291072 is an equidigital number, since it uses as much as digits as its factorization.

16686285291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860512 (or 860490 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 16686285291072 in words is "sixteen trillion, six hundred eighty-six billion, two hundred eighty-five million, two hundred ninety-one thousand, seventy-two".