8528811338880 has 3072 divisors, whose sum is σ = 38959626240000. Its totient is φ = 1724123971584.

The previous prime is 8528811338867. The next prime is 8528811338891. The reversal of 8528811338880 is 888331188258.

8528811338880 is a `hidden beast` number, since 8 + 5 + 288 + 11 + 338 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 47646990631 + ... + 47646990809.

It is an arithmetic number, because the mean of its divisors is an integer number (12682170000).

Almost surely, 2^{8528811338880} is an apocalyptic number.

8528811338880 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 8528811338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479813120000).

8528811338880 is an abundant number, since it is smaller than the sum of its proper divisors (30430814901120).

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

8528811338880 is a wasteful number, since it uses less digits than its factorization.

8528811338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 8528811338880 in words is "eight trillion, five hundred twenty-eight billion, eight hundred eleven million, three hundred thirty-eight thousand, eight hundred eighty".