20205384211968 has 160 divisors (see below), whose sum is σ = 54980685010944. Its totient is φ = 6590988951552.

The previous prime is 20205384211949. The next prime is 20205384211979. The reversal of 20205384211968 is 86911248350202.

It is a self number, because there is not a number n which added to its sum of digits gives 20205384211968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845861721 + ... + 845885607.

Almost surely, 2^{20205384211968} 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 20205384211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27490342505472).

20205384211968 is an abundant number, since it is smaller than the sum of its proper divisors (34775300798976).

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

20205384211968 is a wasteful number, since it uses less digits than its factorization.

20205384211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35672 (or 35656 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 20205384211968 in words is "twenty trillion, two hundred five billion, three hundred eighty-four million, two hundred eleven thousand, nine hundred sixty-eight".