11056661654304 has 384 divisors, whose sum is σ = 34471951073280. Its totient is φ = 3036089548800.

The previous prime is 11056661654303. The next prime is 11056661654309. The reversal of 11056661654304 is 40345616665011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11056661654303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4784361309 + ... + 4784363619.

It is an arithmetic number, because the mean of its divisors is an integer number (89770705920).

Almost surely, 2^{11056661654304} is an apocalyptic number.

11056661654304 is a gapful number since it is divisible by the number (14) 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 11056661654304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235975536640).

11056661654304 is an abundant number, since it is smaller than the sum of its proper divisors (23415289418976).

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

11056661654304 is a wasteful number, since it uses less digits than its factorization.

11056661654304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 11056661654304 in words is "eleven trillion, fifty-six billion, six hundred sixty-one million, six hundred fifty-four thousand, three hundred four".