8521288022016 has 1152 divisors, whose sum is σ = 32963112000000. Its totient is φ = 2096505815040.

The previous prime is 8521288021993. The next prime is 8521288022069. The reversal of 8521288022016 is 6102208821258.

8521288022016 is a `hidden beast` number, since 8 + 521 + 28 + 80 + 2 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×8521288022016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1321331560 + ... + 1321338008.

It is an arithmetic number, because the mean of its divisors is an integer number (28613812500).

Almost surely, 2^{8521288022016} 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 8521288022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481556000000).

8521288022016 is an abundant number, since it is smaller than the sum of its proper divisors (24441823977984).

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

8521288022016 is a wasteful number, since it uses less digits than its factorization.

8521288022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8521288022016 in words is "eight trillion, five hundred twenty-one billion, two hundred eighty-eight million, twenty-two thousand, sixteen".