8528032419840 has 312 divisors, whose sum is σ = 29569285566600. Its totient is φ = 2273445937152.

The previous prime is 8528032419799. The next prime is 8528032419857. The reversal of 8528032419840 is 489142308258.

8528032419840 is a `hidden beast` number, since 8 + 52 + 80 + 324 + 198 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214821126144 + 8313211293696 = 463488^2 + 2883264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942423636 + ... + 942432684.

It is an arithmetic number, because the mean of its divisors is an integer number (94773351175).

Almost surely, 2^{8528032419840} is an apocalyptic number.

8528032419840 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 8528032419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784642783300).

8528032419840 is an abundant number, since it is smaller than the sum of its proper divisors (21041253146760).

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

8528032419840 is a wasteful number, since it uses less digits than its factorization.

8528032419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 8528032419840 in words is "eight trillion, five hundred twenty-eight billion, thirty-two million, four hundred nineteen thousand, eight hundred forty".