11056671234000 has 1600 divisors, whose sum is σ = 47291839795200. Its totient is φ = 2436562944000.

The previous prime is 11056671233999. The next prime is 11056671234023. The reversal of 11056671234000 is 43217665011.

11056671234000 is a `hidden beast` number, since 1 + 1 + 0 + 566 + 71 + 23 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14377985616 + ... + 14377986384.

It is an arithmetic number, because the mean of its divisors is an integer number (29557399872).

Almost surely, 2^{11056671234000} is an apocalyptic number.

11056671234000 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 11056671234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645919897600).

11056671234000 is an abundant number, since it is smaller than the sum of its proper divisors (36235168561200).

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

11056671234000 is a wasteful number, since it uses less digits than its factorization.

11056671234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 11056671234000 its reverse (43217665011), we get a palindrome (11099888899011).

The spelling of 11056671234000 in words is "eleven trillion, fifty-six billion, six hundred seventy-one million, two hundred thirty-four thousand".