6531341811200 has 480 divisors, whose sum is σ = 16768819584000. Its totient is φ = 2520012718080.

The previous prime is 6531341811191. The next prime is 6531341811209. The reversal of 6531341811200 is 21181431356.

It is a happy number.

It is a Cunningham number, because it is equal to 2555649²-1.

It is an interprime number because it is at equal distance from previous prime (6531341811191) and next prime (6531341811209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6531341811209) 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, 10094809277 + ... + 10094809923.

It is an arithmetic number, because the mean of its divisors is an integer number (34935040800).

Almost surely, 2^{6531341811200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6531341811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384409792000).

6531341811200 is an abundant number, since it is smaller than the sum of its proper divisors (10237477772800).

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

6531341811200 is a wasteful number, since it uses less digits than its factorization.

6531341811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 6531341811200 in words is "six trillion, five hundred thirty-one billion, three hundred forty-one million, eight hundred eleven thousand, two hundred".