11193851600 has 90 divisors (see below), whose sum is σ = 28113868566. Its totient is φ = 4282784000.

The previous prime is 11193851593. The next prime is 11193851657. The reversal of 11193851600 is 615839111.

It is a happy number.

11193851600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 105801²-1.

It can be written as a sum of positive squares in 3 ways, for example, as 3983124544 + 7210727056 = 63112^2 + 84916^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 185150 + ... + 238050.

Almost surely, 2^11193851600 is an apocalyptic number.

11193851600 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 11193851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056934283).

11193851600 is an abundant number, since it is smaller than the sum of its proper divisors (16920016966).

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

11193851600 is a wasteful number, since it uses less digits than its factorization.

11193851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52965 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 11193851600 in words is "eleven billion, one hundred ninety-three million, eight hundred fifty-one thousand, six hundred".