1116611011560 has 256 divisors, whose sum is σ = 3870742256640. Its totient is φ = 254677176320.

The previous prime is 1116611011517. The next prime is 1116611011627. The reversal of 1116611011560 is 651101166111.

It is a super-2 number, since 2×1116611011560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75099247 + ... + 75114113.

It is an arithmetic number, because the mean of its divisors is an integer number (15120086940).

Almost surely, 2^{1116611011560} is an apocalyptic number.

1116611011560 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 1116611011560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935371128320).

1116611011560 is an abundant number, since it is smaller than the sum of its proper divisors (2754131245080).

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

1116611011560 is a wasteful number, since it uses less digits than its factorization.

1116611011560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18256 (or 18252 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 30.

Adding to 1116611011560 its reverse (651101166111), we get a palindrome (1767712177671).

The spelling of 1116611011560 in words is "one trillion, one hundred sixteen billion, six hundred eleven million, eleven thousand, five hundred sixty".