11105497872 has 300 divisors, whose sum is σ = 38780898816. Its totient is φ = 3005112960.

The previous prime is 11105497861. The next prime is 11105497901. The reversal of 11105497872 is 27879450111.

It is a happy number.

11105497872 is a `hidden beast` number, since 11 + 10 + 549 + 7 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3273297 + ... + 3276687.

Almost surely, 2^11105497872 is an apocalyptic number.

11105497872 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 11105497872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390449408).

11105497872 is an abundant number, since it is smaller than the sum of its proper divisors (27675400944).

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

11105497872 is a wasteful number, since it uses less digits than its factorization.

11105497872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3422 counting only the distinct ones).

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

The spelling of 11105497872 in words is "eleven billion, one hundred five million, four hundred ninety-seven thousand, eight hundred seventy-two".