20782653606680 has 128 divisors (see below), whose sum is σ = 54207388892160. Its totient is φ = 7023360960000.

The previous prime is 20782653606641. The next prime is 20782653606683. The reversal of 20782653606680 is 8660635628702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20782653606683) 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, 80404850 + ... + 80662910.

It is an arithmetic number, because the mean of its divisors is an integer number (423495225720).

Almost surely, 2^{20782653606680} is an apocalyptic number.

20782653606680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782653606680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27103694446080).

20782653606680 is an abundant number, since it is smaller than the sum of its proper divisors (33424735285480).

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

20782653606680 is a wasteful number, since it uses less digits than its factorization.

20782653606680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262201 (or 262197 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 20782653606680 in words is "twenty trillion, seven hundred eighty-two billion, six hundred fifty-three million, six hundred six thousand, six hundred eighty".