11051296800 has 576 divisors, whose sum is σ = 40103683200. Its totient is φ = 2632089600.

The previous prime is 11051296799. The next prime is 11051296813. The reversal of 11051296800 is 869215011.

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 95 ways as a sum of consecutive naturals, for example, 80666332 + ... + 80666468.

It is an arithmetic number, because the mean of its divisors is an integer number (69624450).

Almost surely, 2^11051296800 is an apocalyptic number.

11051296800 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 11051296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051841600).

11051296800 is an abundant number, since it is smaller than the sum of its proper divisors (29052386400).

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

11051296800 is a wasteful number, since it uses less digits than its factorization.

11051296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 11051296800 in words is "eleven billion, fifty-one million, two hundred ninety-six thousand, eight hundred".