11140457600 has 96 divisors (see below), whose sum is σ = 28408419840. Its totient is φ = 4312396800.

The previous prime is 11140457579. The next prime is 11140457617. The reversal of 11140457600 is 675404111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43049 + ... + 155351.

It is an arithmetic number, because the mean of its divisors is an integer number (295921040).

Almost surely, 2^11140457600 is an apocalyptic number.

11140457600 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 11140457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204209920).

11140457600 is an abundant number, since it is smaller than the sum of its proper divisors (17267962240).

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

11140457600 is a wasteful number, since it uses less digits than its factorization.

11140457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112358 (or 112341 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 11140457600 in words is "eleven billion, one hundred forty million, four hundred fifty-seven thousand, six hundred".