20013917061216 has 192 divisors, whose sum is σ = 56670595688448. Its totient is φ = 6148036866048.

The previous prime is 20013917061199. The next prime is 20013917061287. The reversal of 20013917061216 is 61216071931002.

It is a super-2 number, since 2×20013917061216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 2608352356 + ... + 2608360028.

It is an arithmetic number, because the mean of its divisors is an integer number (295159352544).

Almost surely, 2^{20013917061216} is an apocalyptic number.

20013917061216 is a gapful number since it is divisible by the number (26) 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 20013917061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335297844224).

20013917061216 is an abundant number, since it is smaller than the sum of its proper divisors (36656678627232).

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

20013917061216 is a wasteful number, since it uses less digits than its factorization.

20013917061216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

Adding to 20013917061216 its reverse (61216071931002), we get a palindrome (81229988992218).

The spelling of 20013917061216 in words is "twenty trillion, thirteen billion, nine hundred seventeen million, sixty-one thousand, two hundred sixteen".