8520512000 has 960 divisors, whose sum is σ = 30564293760. Its totient is φ = 2322432000.

The previous prime is 8520511969. The next prime is 8520512003. The reversal of 8520512000 is 2150258.

It is not an unprimeable number, because it can be changed into a prime (8520512003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 448447991 + ... + 448448009.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^8520512000 is an apocalyptic number.

8520512000 is a gapful number since it is divisible by the number (80) 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 8520512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

8520512000 is an abundant number, since it is smaller than the sum of its proper divisors (22043781760).

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

8520512000 is a wasteful number, since it uses less digits than its factorization.

8520512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 8520512000 is about 92306.6194809451. The cubic root of 8520512000 is about 2042.4678578909.

Adding to 8520512000 its reverse (2150258), we get a palindrome (8522662258).

The spelling of 8520512000 in words is "eight billion, five hundred twenty million, five hundred twelve thousand".