5813516800 has 720 divisors, whose sum is σ = 19435756032. Its totient is φ = 1703116800.

The previous prime is 5813516771. The next prime is 5813516801. The reversal of 5813516800 is 86153185.

It is a self number, because there is not a number n which added to its sum of digits gives 5813516800.

It is not an unprimeable number, because it can be changed into a prime (5813516801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187532785 + ... + 187532815.

Almost surely, 2^5813516800 is an apocalyptic number.

5813516800 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 5813516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717878016).

5813516800 is an abundant number, since it is smaller than the sum of its proper divisors (13622239232).

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

5813516800 is a wasteful number, since it uses less digits than its factorization.

5813516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 5813516800 is about 76246.4215553753. The cubic root of 5813516800 is about 1798.0964238112.

Adding to 5813516800 its reverse (86153185), we get a palindrome (5899669985).

The spelling of 5813516800 in words is "five billion, eight hundred thirteen million, five hundred sixteen thousand, eight hundred".