11668032000 has 480 divisors, whose sum is σ = 43019817984. Its totient is φ = 3038208000.

The previous prime is 11668031989. The next prime is 11668032007. The reversal of 11668032000 is 23086611.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11668032000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11668032007) 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, 27071785 + ... + 27072215.

Almost surely, 2^11668032000 is an apocalyptic number.

11668032000 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 11668032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509908992).

11668032000 is an abundant number, since it is smaller than the sum of its proper divisors (31351785984).

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

11668032000 is an equidigital number, since it uses as much as digits as its factorization.

11668032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11668032000 in words is "eleven billion, six hundred sixty-eight million, thirty-two thousand".