20394085143168 has 960 divisors, whose sum is σ = 70786129075200. Its totient is φ = 5807798599680.

The previous prime is 20394085143079. The next prime is 20394085143197. The reversal of 20394085143168 is 86134158049302.

It is a happy number.

20394085143168 is a `hidden beast` number, since 2 + 0 + 3 + 94 + 0 + 8 + 514 + 31 + 6 + 8 = 666.

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

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, 3027172696 + ... + 3027179432.

It is an arithmetic number, because the mean of its divisors is an integer number (73735551120).

Almost surely, 2^{20394085143168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20394085143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393064537600).

20394085143168 is an abundant number, since it is smaller than the sum of its proper divisors (50392043932032).

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

20394085143168 is a wasteful number, since it uses less digits than its factorization.

20394085143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20394085143168 in words is "twenty trillion, three hundred ninety-four billion, eighty-five million, one hundred forty-three thousand, one hundred sixty-eight".