20758779391680 has 1344 divisors, whose sum is σ = 81778701828096. Its totient is φ = 4788854784000.

The previous prime is 20758779391673. The next prime is 20758779391697. The reversal of 20758779391680 is 8619397785702.

20758779391680 is a `hidden beast` number, since 2 + 0 + 7 + 587 + 7 + 9 + 39 + 1 + 6 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20758779391599 and 20758779391608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10062422329 + ... + 10062424391.

It is an arithmetic number, because the mean of its divisors is an integer number (60847248384).

Almost surely, 2^{20758779391680} is an apocalyptic number.

20758779391680 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 20758779391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40889350914048).

20758779391680 is an abundant number, since it is smaller than the sum of its proper divisors (61019922436416).

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

20758779391680 is a wasteful number, since it uses less digits than its factorization.

20758779391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 20758779391680 in words is "twenty trillion, seven hundred fifty-eight billion, seven hundred seventy-nine million, three hundred ninety-one thousand, six hundred eighty".