163785304800 has 1152 divisors, whose sum is σ = 681581376000. Its totient is φ = 38093690880.

The previous prime is 163785304789. The next prime is 163785304801. The reversal of 163785304800 is 8403587361.

163785304800 is a `hidden beast` number, since 1 + 6 + 3 + 78 + 530 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163785304801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 432151011 + ... + 432151389.

It is an arithmetic number, because the mean of its divisors is an integer number (591650500).

Almost surely, 2^163785304800 is an apocalyptic number.

163785304800 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 163785304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340790688000).

163785304800 is an abundant number, since it is smaller than the sum of its proper divisors (517796071200).

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

163785304800 is a wasteful number, since it uses less digits than its factorization.

163785304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 163785304800 in words is "one hundred sixty-three billion, seven hundred eighty-five million, three hundred four thousand, eight hundred".