1681695127872 has 896 divisors, whose sum is σ = 5759403264000. Its totient is φ = 477584916480.

The previous prime is 1681695127859. The next prime is 1681695128011. The reversal of 1681695127872 is 2787215961861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1731920347 + ... + 1731921317.

Almost surely, 2^{1681695127872} is an apocalyptic number.

1681695127872 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 1681695127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879701632000).

1681695127872 is an abundant number, since it is smaller than the sum of its proper divisors (4077708136128).

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

1681695127872 is a wasteful number, since it uses less digits than its factorization.

1681695127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 1681695127872 in words is "one trillion, six hundred eighty-one billion, six hundred ninety-five million, one hundred twenty-seven thousand, eight hundred seventy-two".