11053828800 has 252 divisors, whose sum is σ = 44900886576. Its totient is φ = 2526566400.

The previous prime is 11053828783. The next prime is 11053828831. The reversal of 11053828800 is 882835011.

11053828800 is a `hidden beast` number, since 110 + 538 + 2 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×11053828800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45970 + ... + 155630.

Almost surely, 2^11053828800 is an apocalyptic number.

11053828800 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 11053828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450443288).

11053828800 is an abundant number, since it is smaller than the sum of its proper divisors (33847057776).

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

11053828800 is a wasteful number, since it uses less digits than its factorization.

11053828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109696 (or 109678 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11053828800 in words is "eleven billion, fifty-three million, eight hundred twenty-eight thousand, eight hundred".