20308071168 has 1080 divisors, whose sum is σ = 81201415680. Its totient is φ = 4981616640.

The previous prime is 20308071149. The next prime is 20308071181. The reversal of 20308071168 is 86117080302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257064153 + ... + 257064231.

It is an arithmetic number, because the mean of its divisors is an integer number (75186496).

Almost surely, 2^20308071168 is an apocalyptic number.

20308071168 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 20308071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40600707840).

20308071168 is an abundant number, since it is smaller than the sum of its proper divisors (60893344512).

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

20308071168 is a wasteful number, since it uses less digits than its factorization.

20308071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20308071168 in words is "twenty billion, three hundred eight million, seventy-one thousand, one hundred sixty-eight".