20617275168 has 192 divisors, whose sum is σ = 69165169920. Its totient is φ = 5852860416.

The previous prime is 20617275139. The next prime is 20617275179. The reversal of 20617275168 is 86157271602.

20617275168 is a `hidden beast` number, since 2 + 0 + 61 + 72 + 7 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938680 + ... + 960392.

It is an arithmetic number, because the mean of its divisors is an integer number (360235260).

Almost surely, 2^20617275168 is an apocalyptic number.

20617275168 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 20617275168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34582584960).

20617275168 is an abundant number, since it is smaller than the sum of its proper divisors (48547894752).

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

20617275168 is a wasteful number, since it uses less digits than its factorization.

20617275168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21896 (or 21882 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20617275168 in words is "twenty billion, six hundred seventeen million, two hundred seventy-five thousand, one hundred sixty-eight".