16842668800 has 108 divisors (see below), whose sum is σ = 42705688536. Its totient is φ = 6572646400.

The previous prime is 16842668783. The next prime is 16842668813. The reversal of 16842668800 is 886624861.

It is a super-3 number, since 3×16842668800³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 230307 + ... + 294493.

It is an arithmetic number, because the mean of its divisors is an integer number (395423042).

Almost surely, 2^16842668800 is an apocalyptic number.

16842668800 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 16842668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352844268).

16842668800 is an abundant number, since it is smaller than the sum of its proper divisors (25863019736).

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

16842668800 is an equidigital number, since it uses as much as digits as its factorization.

16842668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64254 (or 64235 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 16842668800 in words is "sixteen billion, eight hundred forty-two million, six hundred sixty-eight thousand, eight hundred".