16685186868480 has 1152 divisors, whose sum is σ = 62445230830080. Its totient is φ = 3761472798720.

The previous prime is 16685186868473. The next prime is 16685186868481. The reversal of 16685186868480 is 8486868158661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16685186868481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4394305942 + ... + 4394309738.

It is an arithmetic number, because the mean of its divisors is an integer number (54205929540).

Almost surely, 2^{16685186868480} is an apocalyptic number.

16685186868480 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 16685186868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222615415040).

16685186868480 is an abundant number, since it is smaller than the sum of its proper divisors (45760043961600).

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

16685186868480 is a wasteful number, since it uses less digits than its factorization.

16685186868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 75.

The spelling of 16685186868480 in words is "sixteen trillion, six hundred eighty-five billion, one hundred eighty-six million, eight hundred sixty-eight thousand, four hundred eighty".