11107840800 has 1152 divisors, whose sum is σ = 48596889600. Its totient is φ = 2141061120.

The previous prime is 11107840789. The next prime is 11107840801. The reversal of 11107840800 is 804870111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11107840801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124807156 + ... + 124807244.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^11107840800 is an apocalyptic number.

11107840800 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 11107840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298444800).

11107840800 is an abundant number, since it is smaller than the sum of its proper divisors (37489048800).

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

11107840800 is a wasteful number, since it uses less digits than its factorization.

11107840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

It can be divided in two parts, 111078 and 40800, that multiplied together give a square (4531982400 = 67320²).

The spelling of 11107840800 in words is "eleven billion, one hundred seven million, eight hundred forty thousand, eight hundred".