1687555386882 has 96 divisors (see below), whose sum is σ = 3818911824000. Its totient is φ = 558500686848.

The previous prime is 1687555386863. The next prime is 1687555386883. The reversal of 1687555386882 is 2886835557861.

1687555386882 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 5 + 5 + 538 + 6 + 8 + 82 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1687555386882.

It is not an unprimeable number, because it can be changed into a prime (1687555386883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106738594 + ... + 106754402.

It is an arithmetic number, because the mean of its divisors is an integer number (39780331500).

Almost surely, 2^{1687555386882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687555386882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909455912000).

1687555386882 is an abundant number, since it is smaller than the sum of its proper divisors (2131356437118).

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

1687555386882 is a wasteful number, since it uses less digits than its factorization.

1687555386882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17382 (or 17370 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

The spelling of 1687555386882 in words is "one trillion, six hundred eighty-seven billion, five hundred fifty-five million, three hundred eighty-six thousand, eight hundred eighty-two".