20916179675712 has 336 divisors, whose sum is σ = 63641643811200. Its totient is φ = 6545158815744.

The previous prime is 20916179675681. The next prime is 20916179675717. The reversal of 20916179675712 is 21757697161902.

20916179675712 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 617 + 9 + 6 + 7 + 5 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20916179675712.

It is not an unprimeable number, because it can be changed into a prime (20916179675717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10041371823 + ... + 10041373905.

It is an arithmetic number, because the mean of its divisors is an integer number (189409654200).

Almost surely, 2^{20916179675712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20916179675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820821905600).

20916179675712 is an abundant number, since it is smaller than the sum of its proper divisors (42725464135488).

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

20916179675712 is a wasteful number, since it uses less digits than its factorization.

20916179675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 20916179675712 in words is "twenty trillion, nine hundred sixteen billion, one hundred seventy-nine million, six hundred seventy-five thousand, seven hundred twelve".