11182798066752 has 280 divisors, whose sum is σ = 35741994657600. Its totient is φ = 3436742421504.

The previous prime is 11182798066723. The next prime is 11182798066753. The reversal of 11182798066752 is 25766089728111.

It is a self number, because there is not a number n which added to its sum of digits gives 11182798066752.

It is not an unprimeable number, because it can be changed into a prime (11182798066753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56442999 + ... + 56640777.

It is an arithmetic number, because the mean of its divisors is an integer number (127649980920).

Almost surely, 2^{11182798066752} is an apocalyptic number.

11182798066752 is a gapful number since it is divisible by the number (12) 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 11182798066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870997328800).

11182798066752 is an abundant number, since it is smaller than the sum of its proper divisors (24559196590848).

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

11182798066752 is a wasteful number, since it uses less digits than its factorization.

11182798066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198655 (or 198636 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 11182798066752 in words is "eleven trillion, one hundred eighty-two billion, seven hundred ninety-eight million, sixty-six thousand, seven hundred fifty-two".