20005112016032 has 192 divisors, whose sum is σ = 47718401246208. Its totient is φ = 8132990976000.

The previous prime is 20005112015963. The next prime is 20005112016163. The reversal of 20005112016032 is 23061021150002.

It is a super-2 number, since 2×20005112016032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20005112015989 and 20005112016007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40559057 + ... + 41049327.

It is an arithmetic number, because the mean of its divisors is an integer number (248533339824).

Almost surely, 2^{20005112016032} is an apocalyptic number.

20005112016032 is a gapful number since it is divisible by the number (22) 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 20005112016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859200623104).

20005112016032 is an abundant number, since it is smaller than the sum of its proper divisors (27713289230176).

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

20005112016032 is a wasteful number, since it uses less digits than its factorization.

20005112016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490583 (or 490575 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 20005112016032 its reverse (23061021150002), we get a palindrome (43066133166034).

The spelling of 20005112016032 in words is "twenty trillion, five billion, one hundred twelve million, sixteen thousand, thirty-two".