20390043168000 has 5760 divisors, whose sum is σ = 96005715886080. Its totient is φ = 4233461760000.

The previous prime is 20390043167957. The next prime is 20390043168013. The reversal of 20390043168000 is 86134009302.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 345593951971 + ... + 345593952029.

It is an arithmetic number, because the mean of its divisors is an integer number (16667659008).

Almost surely, 2^{20390043168000} is an apocalyptic number.

20390043168000 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 20390043168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48002857943040).

20390043168000 is an abundant number, since it is smaller than the sum of its proper divisors (75615672718080).

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

20390043168000 is a wasteful number, since it uses less digits than its factorization.

20390043168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20390043168000 in words is "twenty trillion, three hundred ninety billion, forty-three million, one hundred sixty-eight thousand".