160042222080 has 240 divisors, whose sum is σ = 596908592280. Its totient is φ = 39394934784.

The previous prime is 160042221959. The next prime is 160042222097. The reversal of 160042222080 is 80222240061.

It is a happy number.

160042222080 is a `hidden beast` number, since 16 + 0 + 0 + 422 + 220 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126474119424 + 33568102656 = 355632^2 + 183216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×160042222080⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32356 + ... + 566684.

Almost surely, 2^160042222080 is an apocalyptic number.

160042222080 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 160042222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298454296140).

160042222080 is an abundant number, since it is smaller than the sum of its proper divisors (436866370200).

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

160042222080 is a wasteful number, since it uses less digits than its factorization.

160042222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534371 (or 534352 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 160042222080 in words is "one hundred sixty billion, forty-two million, two hundred twenty-two thousand, eighty".