11668332000 has 192 divisors, whose sum is σ = 41166425664. Its totient is φ = 2872166400.

The previous prime is 11668331993. The next prime is 11668332029. The reversal of 11668332000 is 23386611.

It is a super-2 number, since 2×11668332000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118602 + ... + 193398.

It is an arithmetic number, because the mean of its divisors is an integer number (214408467).

Almost surely, 2^11668332000 is an apocalyptic number.

11668332000 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 11668332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583212832).

11668332000 is an abundant number, since it is smaller than the sum of its proper divisors (29498093664).

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

11668332000 is a wasteful number, since it uses less digits than its factorization.

11668332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74838 (or 74820 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 11668332000 in words is "eleven billion, six hundred sixty-eight million, three hundred thirty-two thousand".