5842801800 has 288 divisors, whose sum is σ = 21485187360. Its totient is φ = 1411200000.

The previous prime is 5842801771. The next prime is 5842801807. The reversal of 5842801800 is 81082485.

5842801800 is a `hidden beast` number, since 58 + 428 + 0 + 180 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5842801807) by changing a digit.

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, 9721500 + ... + 9722100.

It is an arithmetic number, because the mean of its divisors is an integer number (74601345).

Almost surely, 2^5842801800 is an apocalyptic number.

5842801800 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 5842801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742593680).

5842801800 is an abundant number, since it is smaller than the sum of its proper divisors (15642385560).

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

5842801800 is a wasteful number, since it uses less digits than its factorization.

5842801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5842801800 is about 76438.2221143323. Note that the first 3 decimals coincide. The cubic root of 5842801800 is about 1801.1106109017.

The spelling of 5842801800 in words is "five billion, eight hundred forty-two million, eight hundred one thousand, eight hundred".