11473471027200 has 2304 divisors, whose sum is σ = 49382539315200. Its totient is φ = 2283798528000.

The previous prime is 11473471027121. The next prime is 11473471027237. The reversal of 11473471027200 is 272017437411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28612147000 + ... + 28612147400.

It is an arithmetic number, because the mean of its divisors is an integer number (21433393800).

Almost surely, 2^{11473471027200} is an apocalyptic number.

11473471027200 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 11473471027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24691269657600).

11473471027200 is an abundant number, since it is smaller than the sum of its proper divisors (37909068288000).

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

11473471027200 is a wasteful number, since it uses less digits than its factorization.

11473471027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 11473471027200 in words is "eleven trillion, four hundred seventy-three billion, four hundred seventy-one million, twenty-seven thousand, two hundred".