11328265912320 has 912 divisors, whose sum is σ = 46552860402048. Its totient is φ = 2588808314880.

The previous prime is 11328265912279. The next prime is 11328265912423. The reversal of 11328265912320 is 2321956282311.

11328265912320 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 8 + 26 + 591 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229532180 + ... + 2229537260.

Almost surely, 2^{11328265912320} is an apocalyptic number.

11328265912320 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 11328265912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23276430201024).

11328265912320 is an abundant number, since it is smaller than the sum of its proper divisors (35224594489728).

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

11328265912320 is an frugal number, since it uses more digits than its factorization.

11328265912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11328265912320 in words is "eleven trillion, three hundred twenty-eight billion, two hundred sixty-five million, nine hundred twelve thousand, three hundred twenty".