160108583385600 has 960 divisors, whose sum is σ = 600502937316480. Its totient is φ = 42295806443520.

The previous prime is 160108583385599. The next prime is 160108583385713. The reversal of 160108583385600 is 6583385801061.

160108583385600 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 0 + 8 + 583 + 3 + 8 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2995288474 + ... + 2995341926.

It is an arithmetic number, because the mean of its divisors is an integer number (625523893038).

Almost surely, 2^{160108583385600} is an apocalyptic number.

160108583385600 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 160108583385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300251468658240).

160108583385600 is an abundant number, since it is smaller than the sum of its proper divisors (440394353930880).

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

160108583385600 is an frugal number, since it uses more digits than its factorization.

160108583385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53609 (or 53570 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 160108583385600 in words is "one hundred sixty trillion, one hundred eight billion, five hundred eighty-three million, three hundred eighty-five thousand, six hundred".