20784885359280 has 1280 divisors, whose sum is σ = 79241995616256. Its totient is φ = 4407197921280.

The previous prime is 20784885359279. The next prime is 20784885359299. The reversal of 20784885359280 is 8295358848702.

It is a happy number.

It is a super-3 number, since 3×20784885359280³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30431749819 + ... + 30431750501.

Almost surely, 2^{20784885359280} is an apocalyptic number.

20784885359280 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 20784885359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39620997808128).

20784885359280 is an abundant number, since it is smaller than the sum of its proper divisors (58457110256976).

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

20784885359280 is a wasteful number, since it uses less digits than its factorization.

20784885359280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 69.

The spelling of 20784885359280 in words is "twenty trillion, seven hundred eighty-four billion, eight hundred eighty-five million, three hundred fifty-nine thousand, two hundred eighty".