5005585312 has 144 divisors (see below), whose sum is σ = 12728016000. Its totient is φ = 1893805056.

The previous prime is 5005585307. The next prime is 5005585369. The reversal of 5005585312 is 2135855005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867814 + ... + 873562.

It is an arithmetic number, because the mean of its divisors is an integer number (88389000).

Almost surely, 2^5005585312 is an apocalyptic number.

5005585312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364008000).

5005585312 is an abundant number, since it is smaller than the sum of its proper divisors (7722430688).

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

5005585312 is a wasteful number, since it uses less digits than its factorization.

5005585312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The square root of 5005585312 is about 70750.1612153640. The cubic root of 5005585312 is about 1710.6124263513.

The spelling of 5005585312 in words is "five billion, five million, five hundred eighty-five thousand, three hundred twelve".