6531863452800 has 384 divisors, whose sum is σ = 24934125542400. Its totient is φ = 1471968153600.

The previous prime is 6531863452771. The next prime is 6531863452819. The reversal of 6531863452800 is 82543681356.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4086691 + ... + 5455709.

It is an arithmetic number, because the mean of its divisors is an integer number (64932618600).

Almost surely, 2^{6531863452800} is an apocalyptic number.

6531863452800 is a gapful number since it is divisible by the number (60) 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 6531863452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467062771200).

6531863452800 is an abundant number, since it is smaller than the sum of its proper divisors (18402262089600).

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

6531863452800 is a wasteful number, since it uses less digits than its factorization.

6531863452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369124 (or 1369107 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 6531863452800 in words is "six trillion, five hundred thirty-one billion, eight hundred sixty-three million, four hundred fifty-two thousand, eight hundred".