20288963889216 has 224 divisors, whose sum is σ = 65072976076800. Its totient is φ = 6147714101760.

The previous prime is 20288963889209. The next prime is 20288963889247. The reversal of 20288963889216 is 61298836988202.

20288963889216 is a `hidden beast` number, since 2 + 0 + 28 + 8 + 9 + 6 + 388 + 9 + 216 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326583405 + ... + 326645523.

Almost surely, 2^{20288963889216} 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 20288963889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32536488038400).

20288963889216 is an abundant number, since it is smaller than the sum of its proper divisors (44784012187584).

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

20288963889216 is a wasteful number, since it uses less digits than its factorization.

20288963889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79334 (or 79318 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 20288963889216 in words is "twenty trillion, two hundred eighty-eight billion, nine hundred sixty-three million, eight hundred eighty-nine thousand, two hundred sixteen".