11364085230120 has 448 divisors, whose sum is σ = 45226200867840. Its totient is φ = 2513713305600.

The previous prime is 11364085230101. The next prime is 11364085230133. The reversal of 11364085230120 is 2103258046311.

11364085230120 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 0 + 8 + 523 + 0 + 120 = 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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5429760 + ... + 7225680.

Almost surely, 2^{11364085230120} is an apocalyptic number.

11364085230120 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 11364085230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613100433920).

11364085230120 is an abundant number, since it is smaller than the sum of its proper divisors (33862115637720).

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

11364085230120 is a wasteful number, since it uses less digits than its factorization.

11364085230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795988 (or 1795969 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11364085230120 in words is "eleven trillion, three hundred sixty-four billion, eighty-five million, two hundred thirty thousand, one hundred twenty".