11113073675088 has 640 divisors, whose sum is σ = 37574395084800. Its totient is φ = 2745927475200.

The previous prime is 11113073675029. The next prime is 11113073675147. The reversal of 11113073675088 is 88057637031111.

11113073675088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11113073675029) and next prime (11113073675147).

It is a self number, because there is not a number n which added to its sum of digits gives 11113073675088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5190598498 + ... + 5190600638.

It is an arithmetic number, because the mean of its divisors is an integer number (58709992320).

Almost surely, 2^{11113073675088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113073675088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787197542400).

11113073675088 is an abundant number, since it is smaller than the sum of its proper divisors (26461321409712).

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

11113073675088 is a wasteful number, since it uses less digits than its factorization.

11113073675088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 11113073675088 in words is "eleven trillion, one hundred thirteen billion, seventy-three million, six hundred seventy-five thousand, eighty-eight".