11206656000 has 480 divisors, whose sum is σ = 42530202000. Its totient is φ = 2831155200.

The previous prime is 11206655963. The next prime is 11206656061. The reversal of 11206656000 is 65660211.

It is a happy number.

11206656000 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 656 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589823991 + ... + 589824009.

Almost surely, 2^11206656000 is an apocalyptic number.

11206656000 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 11206656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265101000).

11206656000 is an abundant number, since it is smaller than the sum of its proper divisors (31323546000).

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

11206656000 is an frugal number, since it uses more digits than its factorization.

11206656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11206656000 in words is "eleven billion, two hundred six million, six hundred fifty-six thousand".