5821261344000 has 2592 divisors, whose sum is σ = 24203346410880. Its totient is φ = 1388482560000.

The previous prime is 5821261343993. The next prime is 5821261344043. The reversal of 5821261344000 is 4431621285.

It is a happy number.

5821261344000 is a `hidden beast` number, since 5 + 8 + 212 + 6 + 1 + 34 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141981983980 + ... + 141981984020.

Almost surely, 2^{5821261344000} is an apocalyptic number.

5821261344000 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 5821261344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101673205440).

5821261344000 is an abundant number, since it is smaller than the sum of its proper divisors (18382085066880).

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

5821261344000 is an equidigital number, since it uses as much as digits as its factorization.

5821261344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 5821261344000 its reverse (4431621285), we get a palindrome (5825692965285).

The spelling of 5821261344000 in words is "five trillion, eight hundred twenty-one billion, two hundred sixty-one million, three hundred forty-four thousand".