11226605760 has 336 divisors, whose sum is σ = 39777899616. Its totient is φ = 2905030656.

The previous prime is 11226605759. The next prime is 11226605777. The reversal of 11226605760 is 6750662211.

It is a happy number.

11226605760 is a `hidden beast` number, since 1 + 1 + 2 + 26 + 60 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14085682 + ... + 14086478.

It is an arithmetic number, because the mean of its divisors is an integer number (118386606).

Almost surely, 2^11226605760 is an apocalyptic number.

11226605760 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 11226605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888949808).

11226605760 is an abundant number, since it is smaller than the sum of its proper divisors (28551293856).

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

11226605760 is a wasteful number, since it uses less digits than its factorization.

11226605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11226605760 in words is "eleven billion, two hundred twenty-six million, six hundred five thousand, seven hundred sixty".