20689034317056 has 1296 divisors, whose sum is σ = 73282599936000. Its totient is φ = 5589977702400.

The previous prime is 20689034317051. The next prime is 20689034317103. The reversal of 20689034317056 is 65071343098602.

20689034317056 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 90 + 3 + 431 + 70 + 56 = 666.

It is a super-2 number, since 2×20689034317056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20689034316993 and 20689034317011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20689034317051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34539289045 + ... + 34539289643.

It is an arithmetic number, because the mean of its divisors is an integer number (56545216000).

It is a 1-persistent number, because it is pandigital, but 2⋅20689034317056 = 41378068634112 is not.

Almost surely, 2^{20689034317056} 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 20689034317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36641299968000).

20689034317056 is an abundant number, since it is smaller than the sum of its proper divisors (52593565618944).

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

20689034317056 is a wasteful number, since it uses less digits than its factorization.

20689034317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 20689034317056 in words is "twenty trillion, six hundred eighty-nine billion, thirty-four million, three hundred seventeen thousand, fifty-six".