16800445132800 has 2496 divisors, whose sum is σ = 70028567884800. Its totient is φ = 3539069829120.

The previous prime is 16800445132741. The next prime is 16800445132813. The reversal of 16800445132800 is 823154400861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148676505544 + ... + 148676505656.

Almost surely, 2^{16800445132800} is an apocalyptic number.

16800445132800 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 16800445132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014283942400).

16800445132800 is an abundant number, since it is smaller than the sum of its proper divisors (53228122752000).

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

16800445132800 is a wasteful number, since it uses less digits than its factorization.

16800445132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 16800445132800 in words is "sixteen trillion, eight hundred billion, four hundred forty-five million, one hundred thirty-two thousand, eight hundred".