3166075020160 has 128 divisors (see below), whose sum is σ = 8153144294400. Its totient is φ = 1168722149376.

The previous prime is 3166075020077. The next prime is 3166075020287. The reversal of 3166075020160 is 610205706613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3166075020160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35040321 + ... + 35130559.

It is an arithmetic number, because the mean of its divisors is an integer number (63696439800).

Almost surely, 2^{3166075020160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166075020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076572147200).

3166075020160 is an abundant number, since it is smaller than the sum of its proper divisors (4987069274240).

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

3166075020160 is a wasteful number, since it uses less digits than its factorization.

3166075020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94488 (or 94476 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 3166075020160 in words is "three trillion, one hundred sixty-six billion, seventy-five million, twenty thousand, one hundred sixty".