163985542200000 has 1344 divisors, whose sum is σ = 628482774528000. Its totient is φ = 41878425600000.

The previous prime is 163985542199977. The next prime is 163985542200001. The reversal of 163985542200000 is 2245589361.

163985542200000 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 85 + 542 + 20 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (163985542200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16237794951 + ... + 16237805049.

It is an arithmetic number, because the mean of its divisors is an integer number (467621112000).

Almost surely, 2^{163985542200000} is an apocalyptic number.

163985542200000 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 163985542200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314241387264000).

163985542200000 is an abundant number, since it is smaller than the sum of its proper divisors (464497232328000).

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

163985542200000 is an equidigital number, since it uses as much as digits as its factorization.

163985542200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 163985542200000 its reverse (2245589361), we get a palindrome (163987787789361).

The spelling of 163985542200000 in words is "one hundred sixty-three trillion, nine hundred eighty-five billion, five hundred forty-two million, two hundred thousand".