16800027998400 has 336 divisors, whose sum is σ = 61256192448000. Its totient is φ = 4478993003520.

The previous prime is 16800027998371. The next prime is 16800027998419. The reversal of 16800027998400 is 489972000861.

16800027998400 is a `hidden beast` number, since 1 + 6 + 80 + 0 + 0 + 2 + 79 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 201399901 + ... + 201483299.

Almost surely, 2^{16800027998400} is an apocalyptic number.

16800027998400 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 16800027998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30628096224000).

16800027998400 is an abundant number, since it is smaller than the sum of its proper divisors (44456164449600).

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

16800027998400 is a wasteful number, since it uses less digits than its factorization.

16800027998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88093 (or 88072 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 16800027998400 in words is "sixteen trillion, eight hundred billion, twenty-seven million, nine hundred ninety-eight thousand, four hundred".