8128272507852 has 192 divisors, whose sum is σ = 22316349210624. Its totient is φ = 2254276016640.

The previous prime is 8128272507851. The next prime is 8128272507881. The reversal of 8128272507852 is 2587052728218.

It is a junction number, because it is equal to n+sod(n) for n = 8128272507792 and 8128272507801.

It is not an unprimeable number, because it can be changed into a prime (8128272507851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862998623 + ... + 1863002985.

It is an arithmetic number, because the mean of its divisors is an integer number (116230985472).

Almost surely, 2^{8128272507852} is an apocalyptic number.

8128272507852 is a gapful number since it is divisible by the number (82) 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 8128272507852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158174605312).

8128272507852 is an abundant number, since it is smaller than the sum of its proper divisors (14188076702772).

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

8128272507852 is a wasteful number, since it uses less digits than its factorization.

8128272507852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 57.

The spelling of 8128272507852 in words is "eight trillion, one hundred twenty-eight billion, two hundred seventy-two million, five hundred seven thousand, eight hundred fifty-two".