20288604168 has 256 divisors, whose sum is σ = 71788032000. Its totient is φ = 5168489472.

The previous prime is 20288604143. The next prime is 20288604179. The reversal of 20288604168 is 86140688202.

20288604168 is a `hidden beast` number, since 2 + 0 + 28 + 8 + 604 + 16 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467605 + ... + 509147.

It is an arithmetic number, because the mean of its divisors is an integer number (280422000).

Almost surely, 2^20288604168 is an apocalyptic number.

20288604168 is a gapful number since it is divisible by the number (28) 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 20288604168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35894016000).

20288604168 is an abundant number, since it is smaller than the sum of its proper divisors (51499427832).

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

20288604168 is a wasteful number, since it uses less digits than its factorization.

20288604168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41601 (or 41591 counting only the distinct ones).

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

The spelling of 20288604168 in words is "twenty billion, two hundred eighty-eight million, six hundred four thousand, one hundred sixty-eight".