11317171118760 has 640 divisors, whose sum is σ = 41712836457600. Its totient is φ = 2734984673280.

The previous prime is 11317171118719. The next prime is 11317171118797. The reversal of 11317171118760 is 6781117171311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2253965050 + ... + 2253970070.

It is an arithmetic number, because the mean of its divisors is an integer number (65176306965).

Almost surely, 2^{11317171118760} is an apocalyptic number.

11317171118760 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 11317171118760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856418228800).

11317171118760 is an abundant number, since it is smaller than the sum of its proper divisors (30395665338840).

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

11317171118760 is a wasteful number, since it uses less digits than its factorization.

11317171118760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 45.

The spelling of 11317171118760 in words is "eleven trillion, three hundred seventeen billion, one hundred seventy-one million, one hundred eighteen thousand, seven hundred sixty".