11113115539680 has 3456 divisors, whose sum is σ = 51649174886400. Its totient is φ = 2253223526400.

The previous prime is 11113115539613. The next prime is 11113115539717. The reversal of 11113115539680 is 8693551131111.

11113115539680 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 1 + 1 + 553 + 96 + 8 + 0 = 666.

11113115539680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114568201392 + ... + 114568201488.

It is an arithmetic number, because the mean of its divisors is an integer number (14944784400).

Almost surely, 2^{11113115539680} is an apocalyptic number.

11113115539680 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 11113115539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824587443200).

11113115539680 is an abundant number, since it is smaller than the sum of its proper divisors (40536059346720).

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

11113115539680 is an equidigital number, since it uses as much as digits as its factorization.

11113115539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 11113115539680 in words is "eleven trillion, one hundred thirteen billion, one hundred fifteen million, five hundred thirty-nine thousand, six hundred eighty".