166289075712 has 560 divisors, whose sum is σ = 536170013280. Its totient is φ = 51311149056.

The previous prime is 166289075671. The next prime is 166289075717. The reversal of 166289075712 is 217570982661.

166289075712 is a `hidden beast` number, since 1 + 6 + 62 + 8 + 9 + 0 + 7 + 571 + 2 = 666.

166289075712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166289075717) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 463200589 + ... + 463200947.

Almost surely, 2^166289075712 is an apocalyptic number.

166289075712 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 166289075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268085006640).

166289075712 is an abundant number, since it is smaller than the sum of its proper divisors (369880937568).

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

166289075712 is an frugal number, since it uses more digits than its factorization.

166289075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 166289075712 in words is "one hundred sixty-six billion, two hundred eighty-nine million, seventy-five thousand, seven hundred twelve".