3166080006528 has 320 divisors, whose sum is σ = 10145575717200. Its totient is φ = 976441540608.

The previous prime is 3166080006521. The next prime is 3166080006541. The reversal of 3166080006528 is 8256000806613.

3166080006528 is a `hidden beast` number, since 3 + 16 + 608 + 0 + 0 + 0 + 6 + 5 + 28 = 666.

It is a super-2 number, since 2×3166080006528² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166080006521) 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 39 ways as a sum of consecutive naturals, for example, 10246876 + ... + 10551332.

Almost surely, 2^{3166080006528} 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 3166080006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072787858600).

3166080006528 is an abundant number, since it is smaller than the sum of its proper divisors (6979495710672).

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

3166080006528 is a wasteful number, since it uses less digits than its factorization.

3166080006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304559 (or 304538 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3166080006528 in words is "three trillion, one hundred sixty-six billion, eighty million, six thousand, five hundred twenty-eight".