16868352000 has 672 divisors, whose sum is σ = 62769170880. Its totient is φ = 4010803200.

The previous prime is 16868351993. The next prime is 16868352013. The reversal of 16868352000 is 25386861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16868352000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887807991 + ... + 887808009.

Almost surely, 2^16868352000 is an apocalyptic number.

16868352000 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 16868352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31384585440).

16868352000 is an abundant number, since it is smaller than the sum of its proper divisors (45900818880).

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

16868352000 is an equidigital number, since it uses as much as digits as its factorization.

16868352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 16868352000 in words is "sixteen billion, eight hundred sixty-eight million, three hundred fifty-two thousand".