8520057216 has 288 divisors, whose sum is σ = 28376002200. Its totient is φ = 2445189120.

The previous prime is 8520057199. The next prime is 8520057239. The reversal of 8520057216 is 6127500258.

It is a happy number.

8520057216 is a `hidden beast` number, since 85 + 2 + 0 + 0 + 572 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2646840 + ... + 2650056.

Almost surely, 2^8520057216 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 8520057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188001100).

8520057216 is an abundant number, since it is smaller than the sum of its proper divisors (19855944984).

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

8520057216 is a wasteful number, since it uses less digits than its factorization.

8520057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8520057216 is about 92304.1560061084. The cubic root of 8520057216 is about 2042.4315182034.

The spelling of 8520057216 in words is "eight billion, five hundred twenty million, fifty-seven thousand, two hundred sixteen".