16871860800 has 504 divisors, whose sum is σ = 65081350152. Its totient is φ = 4131225600.

The previous prime is 16871860721. The next prime is 16871860823. The reversal of 16871860800 is 806817861.

It can be written as a sum of positive squares in 12 ways, for example, as 16821052416 + 50808384 = 129696^2 + 7128^2 .

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

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, 411508780 + ... + 411508820.

It is an arithmetic number, because the mean of its divisors is an integer number (129129663).

Almost surely, 2^16871860800 is an apocalyptic number.

16871860800 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 16871860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32540675076).

16871860800 is an abundant number, since it is smaller than the sum of its proper divisors (48209489352).

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

16871860800 is an equidigital number, since it uses as much as digits as its factorization.

16871860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 16871860800 in words is "sixteen billion, eight hundred seventy-one million, eight hundred sixty thousand, eight hundred".