11533270320 has 320 divisors, whose sum is σ = 46672012800. Its totient is φ = 2580802560.

The previous prime is 11533270297. The next prime is 11533270363. The reversal of 11533270320 is 2307233511.

11533270320 is a `hidden beast` number, since 1 + 1 + 5 + 332 + 7 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290211 + ... + 327549.

It is an arithmetic number, because the mean of its divisors is an integer number (145850040).

Almost surely, 2^11533270320 is an apocalyptic number.

11533270320 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 11533270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336006400).

11533270320 is an abundant number, since it is smaller than the sum of its proper divisors (35138742480).

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

11533270320 is a wasteful number, since it uses less digits than its factorization.

11533270320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37373 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 11533270320 in words is "eleven billion, five hundred thirty-three million, two hundred seventy thousand, three hundred twenty".