11055142800 has 360 divisors, whose sum is σ = 42104508264. Its totient is φ = 2669322240.

The previous prime is 11055142757. The next prime is 11055142811. The reversal of 11055142800 is 824155011.

It can be written as a sum of positive squares in 12 ways, for example, as 2647719936 + 8407422864 = 51456^2 + 91692^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×11055142800³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2478172 + ... + 2482628.

Almost surely, 2^11055142800 is an apocalyptic number.

11055142800 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 11055142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052254132).

11055142800 is an abundant number, since it is smaller than the sum of its proper divisors (31049365464).

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

11055142800 is a wasteful number, since it uses less digits than its factorization.

11055142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 11055142800 its reverse (824155011), we get a palindrome (11879297811).

It can be divided in two parts, 110551 and 42800, that added together give a palindrome (153351).

The spelling of 11055142800 in words is "eleven billion, fifty-five million, one hundred forty-two thousand, eight hundred".