5582818400 has 72 divisors (see below), whose sum is σ = 13736620800. Its totient is φ = 2215503360.

The previous prime is 5582818399. The next prime is 5582818403. The reversal of 5582818400 is 48182855.

It is a happy number.

It is a super-2 number, since 2×5582818400² = 62335722574757120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5582818403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74126 + ... + 129074.

It is an arithmetic number, because the mean of its divisors is an integer number (190786400).

Almost surely, 2^5582818400 is an apocalyptic number.

5582818400 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 5582818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868310400).

5582818400 is an abundant number, since it is smaller than the sum of its proper divisors (8153802400).

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

5582818400 is a wasteful number, since it uses less digits than its factorization.

5582818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55096 (or 55083 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 41.

The square root of 5582818400 is about 74718.2601510501. The cubic root of 5582818400 is about 1773.9899987023.

The spelling of 5582818400 in words is "five billion, five hundred eighty-two million, eight hundred eighteen thousand, four hundred".