20779886867168 has 576 divisors, whose sum is σ = 52089550994880. Its totient is φ = 8076558336000.

The previous prime is 20779886867111. The next prime is 20779886867183. The reversal of 20779886867168 is 86176868897702.

It is a super-2 number, since 2×20779886867168² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21400500923 + ... + 21400501893.

It is an arithmetic number, because the mean of its divisors is an integer number (90433248255).

Almost surely, 2^{20779886867168} 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 20779886867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044775497440).

20779886867168 is an abundant number, since it is smaller than the sum of its proper divisors (31309664127712).

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

20779886867168 is a wasteful number, since it uses less digits than its factorization.

20779886867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 83.

The spelling of 20779886867168 in words is "twenty trillion, seven hundred seventy-nine billion, eight hundred eighty-six million, eight hundred sixty-seven thousand, one hundred sixty-eight".