5841345775200 has 288 divisors, whose sum is σ = 20573230228992. Its totient is φ = 1431053568000.

The previous prime is 5841345775193. The next prime is 5841345775201. The reversal of 5841345775200 is 25775431485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5841345775201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6139545 + ... + 7026855.

It is an arithmetic number, because the mean of its divisors is an integer number (71434827184).

Almost surely, 2^{5841345775200} is an apocalyptic number.

5841345775200 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 5841345775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286615114496).

5841345775200 is an abundant number, since it is smaller than the sum of its proper divisors (14731884453792).

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

5841345775200 is a wasteful number, since it uses less digits than its factorization.

5841345775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887558 (or 887545 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 5841345775200 in words is "five trillion, eight hundred forty-one billion, three hundred forty-five million, seven hundred seventy-five thousand, two hundred".