8556816201984 has 288 divisors, whose sum is σ = 25376096480000. Its totient is φ = 2844161703936.

The previous prime is 8556816201971. The next prime is 8556816201991. The reversal of 8556816201984 is 4891026186558.

8556816201984 is a `hidden beast` number, since 8 + 5 + 568 + 1 + 62 + 0 + 1 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6116379717 + ... + 6116381115.

Almost surely, 2^{8556816201984} 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 8556816201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688048240000).

8556816201984 is an abundant number, since it is smaller than the sum of its proper divisors (16819280278016).

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

8556816201984 is a wasteful number, since it uses less digits than its factorization.

8556816201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 8556816201984 in words is "eight trillion, five hundred fifty-six billion, eight hundred sixteen million, two hundred one thousand, nine hundred eighty-four".