20784188416 has 44 divisors (see below), whose sum is σ = 41581153152. Its totient is φ = 10383822848.

The previous prime is 20784188333. The next prime is 20784188419. The reversal of 20784188416 is 61488148702.

It is a super-2 number, since 2×20784188416² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20784188416.

It is not an unprimeable number, because it can be changed into a prime (20784188419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1398561 + ... + 1413343.

It is an arithmetic number, because the mean of its divisors is an integer number (945026208).

Almost surely, 2^20784188416 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 20784188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790576576).

20784188416 is an abundant number, since it is smaller than the sum of its proper divisors (20796964736).

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

20784188416 is a wasteful number, since it uses less digits than its factorization.

20784188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16176 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 20784188416 in words is "twenty billion, seven hundred eighty-four million, one hundred eighty-eight thousand, four hundred sixteen".