11027005558800 has 480 divisors, whose sum is σ = 44069215104000. Its totient is φ = 2289768499200.

The previous prime is 11027005558769. The next prime is 11027005558801. The reversal of 11027005558800 is 885550072011.

It is a super-3 number, since 3×11027005558800³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11027005558801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138467794 + ... + 138547406.

It is an arithmetic number, because the mean of its divisors is an integer number (91810864800).

Almost surely, 2^{11027005558800} is an apocalyptic number.

11027005558800 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 11027005558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034607552000).

11027005558800 is an abundant number, since it is smaller than the sum of its proper divisors (33042209545200).

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

11027005558800 is a wasteful number, since it uses less digits than its factorization.

11027005558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81151 (or 81140 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 42.

The spelling of 11027005558800 in words is "eleven trillion, twenty-seven billion, five million, five hundred fifty-eight thousand, eight hundred".