11330130266928 has 240 divisors, whose sum is σ = 36282013088256. Its totient is φ = 3269502005760.

The previous prime is 11330130266911. The next prime is 11330130266929. The reversal of 11330130266928 is 82966203103311.

11330130266928 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 30 + 266 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (11330130266929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697975 + ... + 4811177.

Almost surely, 2^{11330130266928} is an apocalyptic number.

11330130266928 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 11330130266928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141006544128).

11330130266928 is an abundant number, since it is smaller than the sum of its proper divisors (24951882821328).

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

11330130266928 is a wasteful number, since it uses less digits than its factorization.

11330130266928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113312 (or 4113303 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 11330130266928 in words is "eleven trillion, three hundred thirty billion, one hundred thirty million, two hundred sixty-six thousand, nine hundred twenty-eight".