16678872505800 has 288 divisors, whose sum is σ = 59427016740000. Its totient is φ = 4177677219840.

The previous prime is 16678872505777. The next prime is 16678872505847. The reversal of 16678872505800 is 850527887661.

16678872505800 is a `hidden beast` number, since 166 + 78 + 87 + 250 + 5 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14723247 + ... + 15815553.

It is an arithmetic number, because the mean of its divisors is an integer number (206343808125).

Almost surely, 2^{16678872505800} is an apocalyptic number.

16678872505800 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 16678872505800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29713508370000).

16678872505800 is an abundant number, since it is smaller than the sum of its proper divisors (42748144234200).

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

16678872505800 is a wasteful number, since it uses less digits than its factorization.

16678872505800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092845 (or 1092833 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 16678872505800 in words is "sixteen trillion, six hundred seventy-eight billion, eight hundred seventy-two million, five hundred five thousand, eight hundred".