20342350352000 has 256 divisors, whose sum is σ = 50947830835200. Its totient is φ = 8077224960000.

The previous prime is 20342350351991. The next prime is 20342350352041. The reversal of 20342350352000 is 25305324302.

It is a super-2 number, since 2×20342350352000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5177486036 + ... + 5177489964.

It is an arithmetic number, because the mean of its divisors is an integer number (199014964200).

Almost surely, 2^{20342350352000} is an apocalyptic number.

20342350352000 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 20342350352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473915417600).

20342350352000 is an abundant number, since it is smaller than the sum of its proper divisors (30605480483200).

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

20342350352000 is a wasteful number, since it uses less digits than its factorization.

20342350352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 20342350352000 its reverse (25305324302), we get a palindrome (20367655676302).

The spelling of 20342350352000 in words is "twenty trillion, three hundred forty-two billion, three hundred fifty million, three hundred fifty-two thousand".