11820532968 has 192 divisors, whose sum is σ = 34660304640. Its totient is φ = 3629463552.

The previous prime is 11820532961. The next prime is 11820532979. The reversal of 11820532968 is 86923502811.

11820532968 is a `hidden beast` number, since 1 + 1 + 8 + 20 + 532 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11820532961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6310080 + ... + 6311952.

It is an arithmetic number, because the mean of its divisors is an integer number (180522420).

Almost surely, 2^11820532968 is an apocalyptic number.

11820532968 is a gapful number since it is divisible by the number (18) 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 11820532968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330152320).

11820532968 is an abundant number, since it is smaller than the sum of its proper divisors (22839771672).

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

11820532968 is a wasteful number, since it uses less digits than its factorization.

11820532968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11820532968 in words is "eleven billion, eight hundred twenty million, five hundred thirty-two thousand, nine hundred sixty-eight".