5841478800 has 360 divisors, whose sum is σ = 22163581440. Its totient is φ = 1418342400.

The previous prime is 5841478763. The next prime is 5841478871. The reversal of 5841478800 is 88741485.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1895661 + ... + 1898739.

It is an arithmetic number, because the mean of its divisors is an integer number (61565504).

Almost surely, 2^5841478800 is an apocalyptic number.

5841478800 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 5841478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

5841478800 is an abundant number, since it is smaller than the sum of its proper divisors (16322102640).

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

5841478800 is a wasteful number, since it uses less digits than its factorization.

5841478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 5841478800 is about 76429.5675769528. The cubic root of 5841478800 is about 1800.9746573361.

The spelling of 5841478800 in words is "five billion, eight hundred forty-one million, four hundred seventy-eight thousand, eight hundred".