11023332320 has 288 divisors, whose sum is σ = 35236845504. Its totient is φ = 3171041280.

The previous prime is 11023332247. The next prime is 11023332329. The reversal of 11023332320 is 2323332011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11023332292 and 11023332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023332329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758632 + ... + 1764888.

It is an arithmetic number, because the mean of its divisors is an integer number (122350158).

Almost surely, 2^11023332320 is an apocalyptic number.

11023332320 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 11023332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618422752).

11023332320 is an abundant number, since it is smaller than the sum of its proper divisors (24213513184).

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

11023332320 is a wasteful number, since it uses less digits than its factorization.

11023332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11023332320 its reverse (2323332011), we get a palindrome (13346664331).

It can be divided in two parts, 11023 and 332320, that added together give a palindrome (343343).

The spelling of 11023332320 in words is "eleven billion, twenty-three million, three hundred thirty-two thousand, three hundred twenty".