160057417132768 has 96 divisors (see below), whose sum is σ = 324915918425280. Its totient is φ = 77576730316800.

The previous prime is 160057417132763. The next prime is 160057417132817. The reversal of 160057417132768 is 867231714750061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160057417132763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195970621 + ... + 196785667.

It is an arithmetic number, because the mean of its divisors is an integer number (3384540816930).

Almost surely, 2^{160057417132768} 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 160057417132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162457959212640).

160057417132768 is an abundant number, since it is smaller than the sum of its proper divisors (164858501292512).

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

160057417132768 is a wasteful number, since it uses less digits than its factorization.

160057417132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816500 (or 816492 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 160057417132768 in words is "one hundred sixty trillion, fifty-seven billion, four hundred seventeen million, one hundred thirty-two thousand, seven hundred sixty-eight".