20004310521117 has 288 divisors, whose sum is σ = 35540500675680. Its totient is φ = 11140288266240.

The previous prime is 20004310521077. The next prime is 20004310521137. The reversal of 20004310521117 is 71112501340002.

20004310521117 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 431 + 0 + 5 + 211 + 17 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3010013333721 + 16994297187396 = 1734939^2 + 4122414^2 .

It is not a de Polignac number, because 20004310521117 - 2⁶ = 20004310521053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004310521137) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11815894323 + ... + 11815896015.

It is an arithmetic number, because the mean of its divisors is an integer number (123404516235).

Almost surely, 2^{20004310521117} is an apocalyptic number.

20004310521117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20004310521117 is a deficient number, since it is larger than the sum of its proper divisors (15536190154563).

20004310521117 is a wasteful number, since it uses less digits than its factorization.

20004310521117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 20004310521117 its reverse (71112501340002), we get a palindrome (91116811861119).

The spelling of 20004310521117 in words is "twenty trillion, four billion, three hundred ten million, five hundred twenty-one thousand, one hundred seventeen".