11079244800 has 792 divisors, whose sum is σ = 44626008336. Its totient is φ = 2707292160.

The previous prime is 11079244769. The next prime is 11079244807. The reversal of 11079244800 is 844297011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079244807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80870332 + ... + 80870468.

Almost surely, 2^11079244800 is an apocalyptic number.

11079244800 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 11079244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22313004168).

11079244800 is an abundant number, since it is smaller than the sum of its proper divisors (33546763536).

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

11079244800 is a wasteful number, since it uses less digits than its factorization.

11079244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11079244800 in words is "eleven billion, seventy-nine million, two hundred forty-four thousand, eight hundred".