160842563909766 has 128 divisors (see below), whose sum is σ = 378781349760000. Its totient is φ = 50450156370432.

The previous prime is 160842563909761. The next prime is 160842563909789. The reversal of 160842563909766 is 667909365248061.

160842563909766 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 42 + 56 + 390 + 97 + 66 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 160842563909694 and 160842563909703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160842563909761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120406830 + ... + 121735326.

It is an arithmetic number, because the mean of its divisors is an integer number (2959229295000).

It is a 1-persistent number, because it is pandigital, but 2⋅160842563909766 = 321685127819532 is not.

Almost surely, 2^{160842563909766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160842563909766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189390674880000).

160842563909766 is an abundant number, since it is smaller than the sum of its proper divisors (217938785850234).

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

160842563909766 is a wasteful number, since it uses less digits than its factorization.

160842563909766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329323 (or 1329317 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 160842563909766 in words is "one hundred sixty trillion, eight hundred forty-two billion, five hundred sixty-three million, nine hundred nine thousand, seven hundred sixty-six".