163023664089600 has 960 divisors, whose sum is σ = 631917804672000. Its totient is φ = 41081683230720.

The previous prime is 163023664089563. The next prime is 163023664089607. The reversal of 163023664089600 is 6980466320361.

163023664089600 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 23 + 6 + 6 + 4 + 0 + 8 + 9 + 600 = 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 not an unprimeable number, because it can be changed into a prime (163023664089607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659626851 + ... + 659873949.

It is an arithmetic number, because the mean of its divisors is an integer number (658247713200).

Almost surely, 2^{163023664089600} is an apocalyptic number.

163023664089600 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 163023664089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315958902336000).

163023664089600 is an abundant number, since it is smaller than the sum of its proper divisors (468894140582400).

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

163023664089600 is a wasteful number, since it uses less digits than its factorization.

163023664089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247242 (or 247215 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 163023664089600 in words is "one hundred sixty-three trillion, twenty-three billion, six hundred sixty-four million, eighty-nine thousand, six hundred".