160857559104 has 224 divisors, whose sum is σ = 471865512960. Its totient is φ = 47952844800.

The previous prime is 160857559087. The next prime is 160857559147. The reversal of 160857559104 is 401955758061.

It is a super-4 number, since 4×160857559104⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92819422 + ... + 92821154.

Almost surely, 2^160857559104 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 160857559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235932756480).

160857559104 is an abundant number, since it is smaller than the sum of its proper divisors (311007953856).

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

160857559104 is a wasteful number, since it uses less digits than its factorization.

160857559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 160857559104 in words is "one hundred sixty billion, eight hundred fifty-seven million, five hundred fifty-nine thousand, one hundred four".