1711166871168 has 1152 divisors, whose sum is σ = 5839907673600. Its totient is φ = 496382515200.

The previous prime is 1711166871097. The next prime is 1711166871179. The reversal of 1711166871168 is 8611786611171.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13062342463 + ... + 13062342593.

It is an arithmetic number, because the mean of its divisors is an integer number (5069364300).

Almost surely, 2^{1711166871168} is an apocalyptic number.

1711166871168 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 1711166871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919953836800).

1711166871168 is an abundant number, since it is smaller than the sum of its proper divisors (4128740802432).

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

1711166871168 is a wasteful number, since it uses less digits than its factorization.

1711166871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 209 counting only the distinct ones).

The product of its digits is 677376, while the sum is 54.

The spelling of 1711166871168 in words is "one trillion, seven hundred eleven billion, one hundred sixty-six million, eight hundred seventy-one thousand, one hundred sixty-eight".