11350106880000 has 1920 divisors, whose sum is σ = 45626626805760. Its totient is φ = 2453667840000.

The previous prime is 11350106879983. The next prime is 11350106880001. The reversal of 11350106880000 is 8860105311.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11350106880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44163839872 + ... + 44163840128.

It is an arithmetic number, because the mean of its divisors is an integer number (23763868128).

Almost surely, 2^{11350106880000} is an apocalyptic number.

11350106880000 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 11350106880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813313402880).

11350106880000 is an abundant number, since it is smaller than the sum of its proper divisors (34276519925760).

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

11350106880000 is an equidigital number, since it uses as much as digits as its factorization.

11350106880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 11350106880000 its reverse (8860105311), we get a palindrome (11358966985311).

The spelling of 11350106880000 in words is "eleven trillion, three hundred fifty billion, one hundred six million, eight hundred eighty thousand".