8083789752528 has 420 divisors, whose sum is σ = 27490990346820. Its totient is φ = 2294917567488.

The previous prime is 8083789752523. The next prime is 8083789752557. The reversal of 8083789752528 is 8252579873808.

8083789752528 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 7 + 8 + 97 + 5 + 2 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3609346429584 + 4474443322944 = 1899828^2 + 2115288^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083789752523) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 89686108 + ... + 89776196.

It is an arithmetic number, because the mean of its divisors is an integer number (65454738921).

Almost surely, 2^{8083789752528} 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 8083789752528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745495173410).

8083789752528 is an abundant number, since it is smaller than the sum of its proper divisors (19407200594292).

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

8083789752528 is a wasteful number, since it uses less digits than its factorization.

8083789752528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90286 (or 90258 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 8083789752528 in words is "eight trillion, eighty-three billion, seven hundred eighty-nine million, seven hundred fifty-two thousand, five hundred twenty-eight".