160557821141760 has 3456 divisors, whose sum is σ = 715150015856640. Its totient is φ = 32434156339200.

The previous prime is 160557821141747. The next prime is 160557821141801. The reversal of 160557821141760 is 67141128755061.

160557821141760 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 5 + 7 + 8 + 211 + 417 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 160557821141697 and 160557821141706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158497355014 + ... + 158497356026.

It is an arithmetic number, because the mean of its divisors is an integer number (206929981440).

Almost surely, 2^{160557821141760} is an apocalyptic number.

160557821141760 is a gapful number since it is divisible by the number (10) 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 160557821141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357575007928320).

160557821141760 is an abundant number, since it is smaller than the sum of its proper divisors (554592194714880).

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

160557821141760 is a wasteful number, since it uses less digits than its factorization.

160557821141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 160557821141760 in words is "one hundred sixty trillion, five hundred fifty-seven billion, eight hundred twenty-one million, one hundred forty-one thousand, seven hundred sixty".