11996032320 has 336 divisors, whose sum is σ = 44195420880. Its totient is φ = 2975858688.

The previous prime is 11996032313. The next prime is 11996032331. The reversal of 11996032320 is 2323069911.

It is a happy number.

11996032320 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 603 + 23 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 342398016 + 11653634304 = 18504^2 + 107952^2 .

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 47 ways as a sum of consecutive naturals, for example, 4356064 + ... + 4358816.

Almost surely, 2^11996032320 is an apocalyptic number.

11996032320 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 11996032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097710440).

11996032320 is an abundant number, since it is smaller than the sum of its proper divisors (32199388560).

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

11996032320 is a wasteful number, since it uses less digits than its factorization.

11996032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11996032320 in words is "eleven billion, nine hundred ninety-six million, thirty-two thousand, three hundred twenty".