11143968000 has 576 divisors, whose sum is σ = 41278857984. Its totient is φ = 2641920000.

The previous prime is 11143967957. The next prime is 11143968019. The reversal of 11143968000 is 86934111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64415914 + ... + 64416086.

It is an arithmetic number, because the mean of its divisors is an integer number (71664684).

Almost surely, 2^11143968000 is an apocalyptic number.

11143968000 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 11143968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639428992).

11143968000 is an abundant number, since it is smaller than the sum of its proper divisors (30134889984).

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

11143968000 is a wasteful number, since it uses less digits than its factorization.

11143968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11143968000 in words is "eleven billion, one hundred forty-three million, nine hundred sixty-eight thousand".