11080036800 has 756 divisors, whose sum is σ = 47050488576. Its totient is φ = 2464358400.

The previous prime is 11080036783. The next prime is 11080036811. The reversal of 11080036800 is 863008011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28929409 + ... + 28929791.

It is an arithmetic number, because the mean of its divisors is an integer number (62236096).

Almost surely, 2^11080036800 is an apocalyptic number.

11080036800 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 11080036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525244288).

11080036800 is an abundant number, since it is smaller than the sum of its proper divisors (35970451776).

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

11080036800 is a wasteful number, since it uses less digits than its factorization.

11080036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11080036800 in words is "eleven billion, eighty million, thirty-six thousand, eight hundred".