16971889139712 has 672 divisors, whose sum is σ = 54933615539712. Its totient is φ = 5204976205824.

The previous prime is 16971889139671. The next prime is 16971889139743. The reversal of 16971889139712 is 21793198817961.

16971889139712 is a `hidden beast` number, since 1 + 6 + 9 + 71 + 88 + 91 + 397 + 1 + 2 = 666.

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

It is a congruent number.

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, 9497418883 + ... + 9497420669.

It is an arithmetic number, because the mean of its divisors is an integer number (81746451696).

Almost surely, 2^{16971889139712} is an apocalyptic number.

16971889139712 is a gapful number since it is divisible by the number (12) 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 16971889139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466807769856).

16971889139712 is an abundant number, since it is smaller than the sum of its proper divisors (37961726400000).

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

16971889139712 is an equidigital number, since it uses as much as digits as its factorization.

16971889139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2172 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 72.

The spelling of 16971889139712 in words is "sixteen trillion, nine hundred seventy-one billion, eight hundred eighty-nine million, one hundred thirty-nine thousand, seven hundred twelve".