1311166617600 has 1152 divisors, whose sum is σ = 5186668032000. Its totient is φ = 291903897600.

The previous prime is 1311166617511. The next prime is 1311166617601. The reversal of 1311166617600 is 67166611131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311166617601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2160076497 + ... + 2160077103.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316000).

Almost surely, 2^{1311166617600} is an apocalyptic number.

1311166617600 is a gapful number since it is divisible by the number (10) 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 1311166617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016000).

1311166617600 is an abundant number, since it is smaller than the sum of its proper divisors (3875501414400).

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

1311166617600 is an equidigital number, since it uses as much as digits as its factorization.

1311166617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 1311166617600 in words is "one trillion, three hundred eleven billion, one hundred sixty-six million, six hundred seventeen thousand, six hundred".