160985948547600 has 960 divisors, whose sum is σ = 658586504908800. Its totient is φ = 36938757888000.

The previous prime is 160985948547533. The next prime is 160985948547617. The reversal of 160985948547600 is 6745849589061.

160985948547600 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 8 + 5 + 9 + 4 + 8 + 5 + 4 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2489659270 + ... + 2489723930.

It is an arithmetic number, because the mean of its divisors is an integer number (686027609280).

Almost surely, 2^{160985948547600} is an apocalyptic number.

160985948547600 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 160985948547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329293252454400).

160985948547600 is an abundant number, since it is smaller than the sum of its proper divisors (497600556361200).

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

160985948547600 is a wasteful number, since it uses less digits than its factorization.

160985948547600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65821 (or 65804 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 160985948547600 in words is "one hundred sixty trillion, nine hundred eighty-five billion, nine hundred forty-eight million, five hundred forty-seven thousand, six hundred".