20846865120768 has 320 divisors, whose sum is σ = 62194373472000. Its totient is φ = 6894272765952.

The previous prime is 20846865120727. The next prime is 20846865120769. The reversal of 20846865120768 is 86702156864802.

20846865120768 is a `hidden beast` number, since 2 + 0 + 8 + 46 + 8 + 6 + 512 + 0 + 76 + 8 = 666.

It is a super-5 number, since 5×20846865120768⁵ (a number of 68 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20846865120769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3898793871 + ... + 3898799217.

It is an arithmetic number, because the mean of its divisors is an integer number (194357417100).

Almost surely, 2^{20846865120768} 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 20846865120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31097186736000).

20846865120768 is an abundant number, since it is smaller than the sum of its proper divisors (41347508351232).

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

20846865120768 is a wasteful number, since it uses less digits than its factorization.

20846865120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 20846865120768 in words is "twenty trillion, eight hundred forty-six billion, eight hundred sixty-five million, one hundred twenty thousand, seven hundred sixty-eight".