1680175060096 has 64 divisors (see below), whose sum is σ = 3605306314680. Its totient is φ = 775335518208.

The previous prime is 1680175060093. The next prime is 1680175060111. The reversal of 1680175060096 is 6900605710861.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 792313614400 + 887861445696 = 890120^2 + 942264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1680175060093) 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 7 ways as a sum of consecutive naturals, for example, 10230340 + ... + 10393276.

Almost surely, 2^{1680175060096} is an apocalyptic number.

1680175060096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1680175060096 is an abundant number, since it is smaller than the sum of its proper divisors (1925131254584).

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

1680175060096 is a wasteful number, since it uses less digits than its factorization.

1680175060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169161 (or 169149 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 1680175060096 in words is "one trillion, six hundred eighty billion, one hundred seventy-five million, sixty thousand, ninety-six".