11084056800 has 72 divisors (see below), whose sum is σ = 36078612696. Its totient is φ = 2955747840.

The previous prime is 11084056793. The next prime is 11084056813. The reversal of 11084056800 is 865048011.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2306779 + ... + 2311578.

It is an arithmetic number, because the mean of its divisors is an integer number (501091843).

Almost surely, 2^11084056800 is an apocalyptic number.

11084056800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11084056800 is an abundant number, since it is smaller than the sum of its proper divisors (24994555896).

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

11084056800 is a wasteful number, since it uses less digits than its factorization.

11084056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618380 (or 4618367 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11084056800 in words is "eleven billion, eighty-four million, fifty-six thousand, eight hundred".