8059093504 has 480 divisors, whose sum is σ = 22671316800. Its totient is φ = 2817884160.

The previous prime is 8059093499. The next prime is 8059093519. The reversal of 8059093504 is 4053909508.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152058342 + ... + 152058394.

It is an arithmetic number, because the mean of its divisors is an integer number (47231910).

Almost surely, 2^8059093504 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 8059093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335658400).

8059093504 is an abundant number, since it is smaller than the sum of its proper divisors (14612223296).

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

8059093504 is a wasteful number, since it uses less digits than its factorization.

8059093504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 8059093504 is about 89772.4540379731. The cubic root of 8059093504 is about 2004.9123830345.

The spelling of 8059093504 in words is "eight billion, fifty-nine million, ninety-three thousand, five hundred four".