11113809788928 has 720 divisors, whose sum is σ = 39589666099200. Its totient is φ = 2734648197120.

The previous prime is 11113809788891. The next prime is 11113809788959. The reversal of 11113809788928 is 82988790831111.

It is a super-2 number, since 2×11113809788928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503354593 + ... + 503376671.

It is an arithmetic number, because the mean of its divisors is an integer number (54985647360).

Almost surely, 2^{11113809788928} 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 11113809788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794833049600).

11113809788928 is an abundant number, since it is smaller than the sum of its proper divisors (28475856310272).

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

11113809788928 is a wasteful number, since it uses less digits than its factorization.

11113809788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22154 (or 22121 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 66.

The spelling of 11113809788928 in words is "eleven trillion, one hundred thirteen billion, eight hundred nine million, seven hundred eighty-eight thousand, nine hundred twenty-eight".