5841168400 has 60 divisors (see below), whose sum is σ = 14517346500. Its totient is φ = 2255895040.

The previous prime is 5841168391. The next prime is 5841168433. The reversal of 5841168400 is 48611485.

It can be written as a sum of positive squares in 6 ways, for example, as 1291396096 + 4549772304 = 35936^2 + 67452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5841168400.

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 11 ways as a sum of consecutive naturals, for example, 240175 + ... + 263374.

It is an arithmetic number, because the mean of its divisors is an integer number (241955775).

Almost surely, 2^5841168400 is an apocalyptic number.

5841168400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5841168400 is an abundant number, since it is smaller than the sum of its proper divisors (8676178100).

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

5841168400 is a wasteful number, since it uses less digits than its factorization.

5841168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503596 (or 503585 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 5841168400 is about 76427.5369222377. The cubic root of 5841168400 is about 1800.9427571698.

Adding to 5841168400 its reverse (48611485), we get a palindrome (5889779885).

The spelling of 5841168400 in words is "five billion, eight hundred forty-one million, one hundred sixty-eight thousand, four hundred".