5804168400 has 300 divisors, whose sum is σ = 20930580000. Its totient is φ = 1540373760.

The previous prime is 5804168389. The next prime is 5804168413. The reversal of 5804168400 is 48614085.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11631351 + ... + 11631849.

It is an arithmetic number, because the mean of its divisors is an integer number (69768600).

Almost surely, 2^5804168400 is an apocalyptic number.

5804168400 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 5804168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465290000).

5804168400 is an abundant number, since it is smaller than the sum of its proper divisors (15126411600).

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

5804168400 is a wasteful number, since it uses less digits than its factorization.

5804168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5804168400 is about 76185.0930300672. The cubic root of 5804168400 is about 1797.1320997312.

The spelling of 5804168400 in words is "five billion, eight hundred four million, one hundred sixty-eight thousand, four hundred".