11105497728 has 192 divisors, whose sum is σ = 34692403200. Its totient is φ = 3389589504.

The previous prime is 11105497717. The next prime is 11105497763. The reversal of 11105497728 is 82779450111.

It is a happy number.

11105497728 is a `hidden beast` number, since 1 + 1 + 10 + 549 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11105497728² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899033 + ... + 1904871.

It is an arithmetic number, because the mean of its divisors is an integer number (180689600).

Almost surely, 2^11105497728 is an apocalyptic number.

11105497728 is a gapful number since it is divisible by the number (18) 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 11105497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17346201600).

11105497728 is an abundant number, since it is smaller than the sum of its proper divisors (23586905472).

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

11105497728 is a wasteful number, since it uses less digits than its factorization.

11105497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 11105497728 in words is "eleven billion, one hundred five million, four hundred ninety-seven thousand, seven hundred twenty-eight".