16882838138880 has 936 divisors, whose sum is σ = 70596608754672. Its totient is φ = 3858878693376.

The previous prime is 16882838138867. The next prime is 16882838138909. The reversal of 16882838138880 is 8883183828861.

16882838138880 is a `hidden beast` number, since 1 + 68 + 82 + 8 + 38 + 1 + 388 + 80 = 666.

It is a super-2 number, since 2×16882838138880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16882838138799 and 16882838138808.

It is a congruent number.

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, 243820744 + ... + 243889976.

It is an arithmetic number, because the mean of its divisors is an integer number (75423727302).

Almost surely, 2^{16882838138880} is an apocalyptic number.

16882838138880 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 16882838138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35298304377336).

16882838138880 is an abundant number, since it is smaller than the sum of its proper divisors (53713770615792).

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

16882838138880 is an frugal number, since it uses more digits than its factorization.

16882838138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69291 (or 69250 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 72.

The spelling of 16882838138880 in words is "sixteen trillion, eight hundred eighty-two billion, eight hundred thirty-eight million, one hundred thirty-eight thousand, eight hundred eighty".