20168629940160 has 3136 divisors, whose sum is σ = 87223697503488. Its totient is φ = 4389253152768.

The previous prime is 20168629940159. The next prime is 20168629940161. The reversal of 20168629940160 is 6104992686102.

20168629940160 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 8 + 629 + 9 + 4 + 0 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20168629940159) and next prime (20168629940161).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20168629940097 and 20168629940106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168629940161) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 86560643404 + ... + 86560643636.

Almost surely, 2^{20168629940160} is an apocalyptic number.

20168629940160 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 20168629940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43611848751744).

20168629940160 is an abundant number, since it is smaller than the sum of its proper divisors (67055067563328).

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

20168629940160 is a wasteful number, since it uses less digits than its factorization.

20168629940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 20168629940160 in words is "twenty trillion, one hundred sixty-eight billion, six hundred twenty-nine million, nine hundred forty thousand, one hundred sixty".