20350407168 has 480 divisors, whose sum is σ = 75496417920. Its totient is φ = 5364817920.

The previous prime is 20350407167. The next prime is 20350407179. The reversal of 20350407168 is 86170405302.

20350407168 is a `hidden beast` number, since 20 + 3 + 504 + 0 + 71 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20350407167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8804733 + ... + 8807043.

It is an arithmetic number, because the mean of its divisors is an integer number (157284204).

Almost surely, 2^20350407168 is an apocalyptic number.

20350407168 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 20350407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748208960).

20350407168 is an abundant number, since it is smaller than the sum of its proper divisors (55146010752).

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

20350407168 is a wasteful number, since it uses less digits than its factorization.

20350407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20350407168 in words is "twenty billion, three hundred fifty million, four hundred seven thousand, one hundred sixty-eight".