1680169688160 has 48 divisors (see below), whose sum is σ = 5292534519216. Its totient is φ = 448045250048.

The previous prime is 1680169688129. The next prime is 1680169688179. The reversal of 1680169688160 is 618869610861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1680169688094 and 1680169688103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750176279 + ... + 1750177238.

It is an arithmetic number, because the mean of its divisors is an integer number (110261135817).

Almost surely, 2^{1680169688160} is an apocalyptic number.

1680169688160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680169688160 is an abundant number, since it is smaller than the sum of its proper divisors (3612364831056).

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

1680169688160 is a wasteful number, since it uses less digits than its factorization.

1680169688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500353535 (or 3500353527 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 1680169688160 in words is "one trillion, six hundred eighty billion, one hundred sixty-nine million, six hundred eighty-eight thousand, one hundred sixty".