16800385873920 has 384 divisors, whose sum is σ = 60064455709440. Its totient is φ = 3973480448000.

The previous prime is 16800385873919. The next prime is 16800385873939. The reversal of 16800385873920 is 2937858300861.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16800385873920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13248415 + ... + 14461025.

It is an arithmetic number, because the mean of its divisors is an integer number (156417853410).

Almost surely, 2^{16800385873920} is an apocalyptic number.

16800385873920 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 16800385873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30032227854720).

16800385873920 is an abundant number, since it is smaller than the sum of its proper divisors (43264069835520).

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

16800385873920 is a wasteful number, since it uses less digits than its factorization.

16800385873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212693 (or 1212673 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 16800385873920 in words is "sixteen trillion, eight hundred billion, three hundred eighty-five million, eight hundred seventy-three thousand, nine hundred twenty".