11052328320 has 768 divisors, whose sum is σ = 45643253760. Its totient is φ = 2433024000.

The previous prime is 11052328297. The next prime is 11052328321. The reversal of 11052328320 is 2382325011.

11052328320 is a `hidden beast` number, since 1 + 10 + 5 + 2 + 328 + 320 = 666.

It is a super-2 number, since 2×11052328320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052328321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33390555 + ... + 33390885.

It is an arithmetic number, because the mean of its divisors is an integer number (59431320).

Almost surely, 2^11052328320 is an apocalyptic number.

11052328320 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 11052328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821626880).

11052328320 is an abundant number, since it is smaller than the sum of its proper divisors (34590925440).

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

11052328320 is a wasteful number, since it uses less digits than its factorization.

11052328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11052328320 in words is "eleven billion, fifty-two million, three hundred twenty-eight thousand, three hundred twenty".