1116661005600 has 288 divisors, whose sum is σ = 4242364471296. Its totient is φ = 249806054400.

The previous prime is 1116661005589. The next prime is 1116661005611. The reversal of 1116661005600 is 65001666111.

It is an interprime number because it is at equal distance from previous prime (1116661005589) and next prime (1116661005611).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82495 + ... + 1496705.

It is an arithmetic number, because the mean of its divisors is an integer number (14730432192).

Almost surely, 2^{1116661005600} is an apocalyptic number.

1116661005600 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 1116661005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121182235648).

1116661005600 is an abundant number, since it is smaller than the sum of its proper divisors (3125703465696).

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

1116661005600 is a wasteful number, since it uses less digits than its factorization.

1116661005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414288 (or 1414275 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 1116661005600 in words is "one trillion, one hundred sixteen billion, six hundred sixty-one million, five thousand, six hundred".