8852526133728 has 192 divisors, whose sum is σ = 24137108352000. Its totient is φ = 2839314216960.

The previous prime is 8852526133723. The next prime is 8852526133739. The reversal of 8852526133728 is 8273316252588.

It is a super-3 number, since 3×8852526133728³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8852526133723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59816943 + ... + 59964753.

It is an arithmetic number, because the mean of its divisors is an integer number (125714106000).

Almost surely, 2^{8852526133728} 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 8852526133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068554176000).

8852526133728 is an abundant number, since it is smaller than the sum of its proper divisors (15284582218272).

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

8852526133728 is a wasteful number, since it uses less digits than its factorization.

8852526133728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148105 (or 148097 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 8852526133728 in words is "eight trillion, eight hundred fifty-two billion, five hundred twenty-six million, one hundred thirty-three thousand, seven hundred twenty-eight".