163985817600 has 816 divisors, whose sum is σ = 659213730240. Its totient is φ = 39636172800.

The previous prime is 163985817581. The next prime is 163985817601. The reversal of 163985817600 is 6718589361.

163985817600 is a `hidden beast` number, since 16 + 3 + 9 + 8 + 5 + 8 + 17 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (163985817601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486604632 + ... + 486604968.

Almost surely, 2^163985817600 is an apocalyptic number.

163985817600 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 163985817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329606865120).

163985817600 is an abundant number, since it is smaller than the sum of its proper divisors (495227912640).

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

163985817600 is an equidigital number, since it uses as much as digits as its factorization.

163985817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 163985817600 in words is "one hundred sixty-three billion, nine hundred eighty-five million, eight hundred seventeen thousand, six hundred".