8052969585888 has 288 divisors, whose sum is σ = 24111108403200. Its totient is φ = 2546366284800.

The previous prime is 8052969585883. The next prime is 8052969586001. The reversal of 8052969585888 is 8885859692508.

8052969585888 is a `hidden beast` number, since 8 + 0 + 5 + 29 + 6 + 9 + 5 + 8 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052969585883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97997298 + ... + 98079438.

It is an arithmetic number, because the mean of its divisors is an integer number (83719126400).

Almost surely, 2^{8052969585888} 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 8052969585888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055554201600).

8052969585888 is an abundant number, since it is smaller than the sum of its proper divisors (16058138817312).

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

8052969585888 is a wasteful number, since it uses less digits than its factorization.

8052969585888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82406 (or 82395 counting only the distinct ones).

The product of its (nonzero) digits is 3981312000, while the sum is 81.

The spelling of 8052969585888 in words is "eight trillion, fifty-two billion, nine hundred sixty-nine million, five hundred eighty-five thousand, eight hundred eighty-eight".