16868116800 has 504 divisors, whose sum is σ = 64070423040. Its totient is φ = 4199731200.

The previous prime is 16868116787. The next prime is 16868116823. The reversal of 16868116800 is 861186861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12944949 + ... + 12946251.

Almost surely, 2^16868116800 is an apocalyptic number.

16868116800 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 16868116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32035211520).

16868116800 is an abundant number, since it is smaller than the sum of its proper divisors (47202306240).

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

16868116800 is a wasteful number, since it uses less digits than its factorization.

16868116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 16868116800 in words is "sixteen billion, eight hundred sixty-eight million, one hundred sixteen thousand, eight hundred".