1117110281760 has 480 divisors, whose sum is σ = 4304036544192. Its totient is φ = 270615582720.

The previous prime is 1117110281723. The next prime is 1117110281779. The reversal of 1117110281760 is 671820117111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1117110281760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314057902 + ... + 314061458.

Almost surely, 2^{1117110281760} is an apocalyptic number.

1117110281760 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 1117110281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152018272096).

1117110281760 is an abundant number, since it is smaller than the sum of its proper divisors (3186926262432).

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

1117110281760 is a wasteful number, since it uses less digits than its factorization.

1117110281760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 36.

Adding to 1117110281760 its reverse (671820117111), we get a palindrome (1788930398871).

The spelling of 1117110281760 in words is "one trillion, one hundred seventeen billion, one hundred ten million, two hundred eighty-one thousand, seven hundred sixty".