5005610000 has 100 divisors (see below), whose sum is σ = 12286888812. Its totient is φ = 1974528000.

The previous prime is 5005609997. The next prime is 5005610003. The reversal of 5005610000 is 165005.

It is an interprime number because it is at equal distance from previous prime (5005609997) and next prime (5005610003).

It can be written as a sum of positive squares in 10 ways, for example, as 4835255296 + 170354704 = 69536^2 + 13052^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×5005610000² = 50112262944200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5005610003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 726572 + ... + 733428.

Almost surely, 2^5005610000 is an apocalyptic number.

5005610000 is a gapful number since it is divisible by the number (50) 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 5005610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143444406).

5005610000 is an abundant number, since it is smaller than the sum of its proper divisors (7281278812).

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

5005610000 is an equidigital number, since it uses as much as digits as its factorization.

5005610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5005610000 is about 70750.3356882496. The cubic root of 5005610000 is about 1710.6152386451.

Adding to 5005610000 its reverse (165005), we get a palindrome (5005775005).

The spelling of 5005610000 in words is "five billion, five million, six hundred ten thousand".