11233630320 has 240 divisors, whose sum is σ = 38401292160. Its totient is φ = 2714539520.

The previous prime is 11233630313. The next prime is 11233630321. The reversal of 11233630320 is 2303633211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233630321) 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, 17046151 + ... + 17046809.

It is an arithmetic number, because the mean of its divisors is an integer number (160005384).

Almost surely, 2^11233630320 is an apocalyptic number.

11233630320 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 11233630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200646080).

11233630320 is an abundant number, since it is smaller than the sum of its proper divisors (27167661840).

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

11233630320 is a wasteful number, since it uses less digits than its factorization.

11233630320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The spelling of 11233630320 in words is "eleven billion, two hundred thirty-three million, six hundred thirty thousand, three hundred twenty".