8052583894020 has 288 divisors, whose sum is σ = 25472406960000. Its totient is φ = 2057338583040.

The previous prime is 8052583893983. The next prime is 8052583894051. The reversal of 8052583894020 is 204983852508.

It is a happy number.

8052583894020 is a `hidden beast` number, since 8 + 0 + 5 + 258 + 389 + 4 + 0 + 2 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 443683906 + ... + 443702054.

It is an arithmetic number, because the mean of its divisors is an integer number (88445857500).

Almost surely, 2^{8052583894020} 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 8052583894020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736203480000).

8052583894020 is an abundant number, since it is smaller than the sum of its proper divisors (17419823065980).

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

8052583894020 is a wasteful number, since it uses less digits than its factorization.

8052583894020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19283 (or 19278 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8052583894020 in words is "eight trillion, fifty-two billion, five hundred eighty-three million, eight hundred ninety-four thousand, twenty".