20688658469712 has 120 divisors (see below), whose sum is σ = 58266988977600. Its totient is φ = 6852541386240.

The previous prime is 20688658469683. The next prime is 20688658469719. The reversal of 20688658469712 is 21796485688602.

20688658469712 is a `hidden beast` number, since 20 + 6 + 8 + 8 + 6 + 584 + 6 + 9 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20688658469719) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21332863 + ... + 22281569.

It is an arithmetic number, because the mean of its divisors is an integer number (485558241480).

Almost surely, 2^{20688658469712} 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 20688658469712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133494488800).

20688658469712 is an abundant number, since it is smaller than the sum of its proper divisors (37578330507888).

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

20688658469712 is a wasteful number, since it uses less digits than its factorization.

20688658469712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949681 (or 949672 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 20688658469712 in words is "twenty trillion, six hundred eighty-eight billion, six hundred fifty-eight million, four hundred sixty-nine thousand, seven hundred twelve".