1687061271168 has 2688 divisors, whose sum is σ = 7050909772800. Its totient is φ = 391283343360.

The previous prime is 1687061271163. The next prime is 1687061271187. The reversal of 1687061271168 is 8611721607861.

1687061271168 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 0 + 612 + 7 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is not an unprimeable number, because it can be changed into a prime (1687061271163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54421331313 + ... + 54421331343.

Almost surely, 2^{1687061271168} is an apocalyptic number.

1687061271168 is a gapful number since it is divisible by the number (18) 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 1687061271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525454886400).

1687061271168 is an abundant number, since it is smaller than the sum of its proper divisors (5363848501632).

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

1687061271168 is a wasteful number, since it uses less digits than its factorization.

1687061271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1687061271168 in words is "one trillion, six hundred eighty-seven billion, sixty-one million, two hundred seventy-one thousand, one hundred sixty-eight".