5801821200 has 720 divisors, whose sum is σ = 25257847680. Its totient is φ = 1202503680.

The previous prime is 5801821177. The next prime is 5801821237. The reversal of 5801821200 is 21281085.

5801821200 is a `hidden beast` number, since 580 + 1 + 82 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5801821200² = 67322258473538880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12423367 + ... + 12423833.

It is an arithmetic number, because the mean of its divisors is an integer number (35080344).

Almost surely, 2^5801821200 is an apocalyptic number.

5801821200 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 5801821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628923840).

5801821200 is an abundant number, since it is smaller than the sum of its proper divisors (19456026480).

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

5801821200 is a wasteful number, since it uses less digits than its factorization.

5801821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5801821200 is about 76169.6868839567. The cubic root of 5801821200 is about 1796.8898142496.

The spelling of 5801821200 in words is "five billion, eight hundred one million, eight hundred twenty-one thousand, two hundred".