6181593196800 has 1728 divisors, whose sum is σ = 25519166668800. Its totient is φ = 1313784299520.

The previous prime is 6181593196789. The next prime is 6181593196811. The reversal of 6181593196800 is 86913951816.

It is an interprime number because it is at equal distance from previous prime (6181593196789) and next prime (6181593196811).

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 191 ways as a sum of consecutive naturals, for example, 5604345049 + ... + 5604346151.

Almost surely, 2^{6181593196800} is an apocalyptic number.

6181593196800 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 6181593196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759583334400).

6181593196800 is an abundant number, since it is smaller than the sum of its proper divisors (19337573472000).

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

6181593196800 is a wasteful number, since it uses less digits than its factorization.

6181593196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 6181593196800 in words is "six trillion, one hundred eighty-one billion, five hundred ninety-three million, one hundred ninety-six thousand, eight hundred".