11125708800 has 288 divisors, whose sum is σ = 37163402640. Its totient is φ = 2936012800.

The previous prime is 11125708793. The next prime is 11125708817. The reversal of 11125708800 is 880752111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17356480 + ... + 17357120.

Almost surely, 2^11125708800 is an apocalyptic number.

11125708800 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 11125708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18581701320).

11125708800 is an abundant number, since it is smaller than the sum of its proper divisors (26037693840).

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

11125708800 is a wasteful number, since it uses less digits than its factorization.

11125708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 11125708800 in words is "eleven billion, one hundred twenty-five million, seven hundred eight thousand, eight hundred".