5841388800 has 648 divisors, whose sum is σ = 23352802200. Its totient is φ = 1383137280.

The previous prime is 5841388753. The next prime is 5841388901. The reversal of 5841388800 is 88831485.

It can be written as a sum of positive squares in 12 ways, for example, as 4032758016 + 1808630784 = 63504^2 + 42528^2 .

It is a super-2 number, since 2×5841388800² = 68243646225530880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21715066 + ... + 21715334.

It is an arithmetic number, because the mean of its divisors is an integer number (36038275).

Almost surely, 2^5841388800 is an apocalyptic number.

5841388800 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 5841388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676401100).

5841388800 is an abundant number, since it is smaller than the sum of its proper divisors (17511413400).

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

5841388800 is a wasteful number, since it uses less digits than its factorization.

5841388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 5841388800 is about 76428.9787973122. The cubic root of 5841388800 is about 1800.9654080485.

The spelling of 5841388800 in words is "five billion, eight hundred forty-one million, three hundred eighty-eight thousand, eight hundred".