11066653400000 has 336 divisors, whose sum is σ = 29975756741280. Its totient is φ = 4019980800000.

The previous prime is 11066653399961. The next prime is 11066653400093. The reversal of 11066653400000 is 435666011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11066653400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2703797954 + ... + 2703802046.

It is an arithmetic number, because the mean of its divisors is an integer number (89213561730).

Almost surely, 2^{11066653400000} is an apocalyptic number.

11066653400000 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 11066653400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987878370640).

11066653400000 is an abundant number, since it is smaller than the sum of its proper divisors (18909103341280).

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

11066653400000 is an equidigital number, since it uses as much as digits as its factorization.

11066653400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 11066653400000 in words is "eleven trillion, sixty-six billion, six hundred fifty-three million, four hundred thousand".