8220886839984 has 1920 divisors, whose sum is σ = 30641238835200. Its totient is φ = 1871555051520.

The previous prime is 8220886839881. The next prime is 8220886840031. The reversal of 8220886839984 is 4899386880228.

It is a super-2 number, since 2×8220886839984² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 36864963297 + ... + 36864963519.

It is an arithmetic number, because the mean of its divisors is an integer number (15958978560).

Almost surely, 2^{8220886839984} is an apocalyptic number.

8220886839984 is a gapful number since it is divisible by the number (84) 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 8220886839984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320619417600).

8220886839984 is an abundant number, since it is smaller than the sum of its proper divisors (22420351995216).

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

8220886839984 is a wasteful number, since it uses less digits than its factorization.

8220886839984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 75.

The spelling of 8220886839984 in words is "eight trillion, two hundred twenty billion, eight hundred eighty-six million, eight hundred thirty-nine thousand, nine hundred eighty-four".