5582231802000 has 600 divisors, whose sum is σ = 23455457471160. Its totient is φ = 1275936883200.

The previous prime is 5582231801999. The next prime is 5582231802023. The reversal of 5582231802000 is 2081322855.

5582231802000 is a `hidden beast` number, since 5 + 58 + 223 + 180 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75587604624 + 5506644197376 = 274932^2 + 2346624^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×5582231802000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7586386 + ... + 8289614.

Almost surely, 2^{5582231802000} is an apocalyptic number.

5582231802000 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 5582231802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727728735580).

5582231802000 is an abundant number, since it is smaller than the sum of its proper divisors (17873225669160).

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

5582231802000 is a wasteful number, since it uses less digits than its factorization.

5582231802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703278 (or 703246 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5582231802000 in words is "five trillion, five hundred eighty-two billion, two hundred thirty-one million, eight hundred two thousand".