11126655817200 has 4800 divisors, whose sum is σ = 54911125463040. Its totient is φ = 2107607040000.

The previous prime is 11126655817177. The next prime is 11126655817253. The reversal of 11126655817200 is 271855662111.

11126655817200 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 6 + 65 + 581 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 271381849180 + ... + 271381849220.

Almost surely, 2^{11126655817200} is an apocalyptic number.

11126655817200 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 11126655817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455562731520).

11126655817200 is an abundant number, since it is smaller than the sum of its proper divisors (43784469645840).

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

11126655817200 is a wasteful number, since it uses less digits than its factorization.

11126655817200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11126655817200 in words is "eleven trillion, one hundred twenty-six billion, six hundred fifty-five million, eight hundred seventeen thousand, two hundred".