11055589668000 has 768 divisors, whose sum is σ = 42713739694080. Its totient is φ = 2767951872000.

The previous prime is 11055589667989. The next prime is 11055589668007. The reversal of 11055589668000 is 86698555011.

11055589668000 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 558 + 9 + 6 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11055589668007) 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 127 ways as a sum of consecutive naturals, for example, 772948849 + ... + 772963151.

It is an arithmetic number, because the mean of its divisors is an integer number (55616848560).

Almost surely, 2^{11055589668000} is an apocalyptic number.

11055589668000 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 11055589668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356869847040).

11055589668000 is an abundant number, since it is smaller than the sum of its proper divisors (31658150026080).

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

11055589668000 is a wasteful number, since it uses less digits than its factorization.

11055589668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14775 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 11055589668000 in words is "eleven trillion, fifty-five billion, five hundred eighty-nine million, six hundred sixty-eight thousand".