11110026813312 has 384 divisors, whose sum is σ = 34616827630080. Its totient is φ = 3147766272000.

The previous prime is 11110026813269. The next prime is 11110026813329. The reversal of 11110026813312 is 21331862001111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 11110026813312.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1792804198 + ... + 1792810394.

It is an arithmetic number, because the mean of its divisors is an integer number (90147988620).

Almost surely, 2^{11110026813312} is an apocalyptic number.

11110026813312 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 11110026813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308413815040).

11110026813312 is an abundant number, since it is smaller than the sum of its proper divisors (23506800816768).

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

11110026813312 is a wasteful number, since it uses less digits than its factorization.

11110026813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 11110026813312 its reverse (21331862001111), we get a palindrome (32441888814423).

The spelling of 11110026813312 in words is "eleven trillion, one hundred ten billion, twenty-six million, eight hundred thirteen thousand, three hundred twelve".