20168424161280 has 720 divisors, whose sum is σ = 76564053581400. Its totient is φ = 5061652512768.

The previous prime is 20168424161269. The next prime is 20168424161287. The reversal of 20168424161280 is 8216142486102.

20168424161280 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 8 + 4 + 24 + 1 + 612 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15467922653184 + 4700501508096 = 3932928^2 + 2168064^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (20168424161287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 902419546 + ... + 902441894.

Almost surely, 2^{20168424161280} is an apocalyptic number.

20168424161280 is a gapful number since it is divisible by the number (20) 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 20168424161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282026790700).

20168424161280 is an abundant number, since it is smaller than the sum of its proper divisors (56395629420120).

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

20168424161280 is an frugal number, since it uses more digits than its factorization.

20168424161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22417 (or 22376 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20168424161280 in words is "twenty trillion, one hundred sixty-eight billion, four hundred twenty-four million, one hundred sixty-one thousand, two hundred eighty".