5873212800 has 1152 divisors, whose sum is σ = 27070767360. Its totient is φ = 1224253440.

The previous prime is 5873212783. The next prime is 5873212801. The reversal of 5873212800 is 82123785.

5873212800 is a `hidden beast` number, since 58 + 7 + 321 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5873212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761559 + ... + 70761641.

It is an arithmetic number, because the mean of its divisors is an integer number (23498930).

Almost surely, 2^5873212800 is an apocalyptic number.

5873212800 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 5873212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535383680).

5873212800 is an abundant number, since it is smaller than the sum of its proper divisors (21197554560).

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

5873212800 is a wasteful number, since it uses less digits than its factorization.

5873212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5873212800 is about 76636.8892896887. The cubic root of 5873212800 is about 1804.2300514711.

The spelling of 5873212800 in words is "five billion, eight hundred seventy-three million, two hundred twelve thousand, eight hundred".