160242001920 has 1920 divisors, whose sum is σ = 775160305920. Its totient is φ = 30576476160.

The previous prime is 160242001879. The next prime is 160242001967. The reversal of 160242001920 is 29100242061.

160242001920 is a `hidden beast` number, since 1 + 602 + 4 + 20 + 0 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 830269344 + ... + 830269536.

It is an arithmetic number, because the mean of its divisors is an integer number (403729326).

Almost surely, 2^160242001920 is an apocalyptic number.

160242001920 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 160242001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387580152960).

160242001920 is an abundant number, since it is smaller than the sum of its proper divisors (614918304000).

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

160242001920 is a wasteful number, since it uses less digits than its factorization.

160242001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 160242001920 its reverse (29100242061), we get a palindrome (189342243981).

The spelling of 160242001920 in words is "one hundred sixty billion, two hundred forty-two million, one thousand, nine hundred twenty".