8052006600 has 576 divisors, whose sum is σ = 31424328000. Its totient is φ = 1828915200.

The previous prime is 8052006593. The next prime is 8052006607. The reversal of 8052006600 is 66002508.

8052006600 is a `hidden beast` number, since 8 + 0 + 52 + 0 + 0 + 6 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (8052006593) and next prime (8052006607).

It is not an unprimeable number, because it can be changed into a prime (8052006607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21245211 + ... + 21245589.

It is an arithmetic number, because the mean of its divisors is an integer number (54556125).

Almost surely, 2^8052006600 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 8052006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712164000).

8052006600 is an abundant number, since it is smaller than the sum of its proper divisors (23372321400).

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

8052006600 is a wasteful number, since it uses less digits than its factorization.

8052006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8052006600 is about 89732.9738724846. The cubic root of 8052006600 is about 2004.3245258319.

The spelling of 8052006600 in words is "eight billion, fifty-two million, six thousand, six hundred".