11233984320 has 252 divisors, whose sum is σ = 41843003436. Its totient is φ = 2765168640.

The previous prime is 11233984291. The next prime is 11233984337. The reversal of 11233984320 is 2348933211.

11233984320 is a `hidden beast` number, since 11 + 233 + 98 + 4 + 320 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2283310656 + 8950673664 = 47784^2 + 94608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475180 + ... + 498260.

Almost surely, 2^11233984320 is an apocalyptic number.

11233984320 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 11233984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921501718).

11233984320 is an abundant number, since it is smaller than the sum of its proper divisors (30609019116).

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

11233984320 is a wasteful number, since it uses less digits than its factorization.

11233984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23130 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11233984320 in words is "eleven billion, two hundred thirty-three million, nine hundred eighty-four thousand, three hundred twenty".