11673198571200 has 168 divisors, whose sum is σ = 38306717780112. Its totient is φ = 3112129658880.

The previous prime is 11673198571187. The next prime is 11673198571247. The reversal of 11673198571200 is 217589137611.

11673198571200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20537232 + ... + 21097968.

Almost surely, 2^{11673198571200} is an apocalyptic number.

11673198571200 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 11673198571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153358890056).

11673198571200 is an abundant number, since it is smaller than the sum of its proper divisors (26633519208912).

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

11673198571200 is a wasteful number, since it uses less digits than its factorization.

11673198571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565099 (or 565084 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 11673198571200 in words is "eleven trillion, six hundred seventy-three billion, one hundred ninety-eight million, five hundred seventy-one thousand, two hundred".