11576199240 has 224 divisors, whose sum is σ = 39530574720. Its totient is φ = 3049156224.

The previous prime is 11576199203. The next prime is 11576199281. The reversal of 11576199240 is 4299167511.

11576199240 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 619 + 9 + 24 + 0 = 666.

11576199240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 2417889 + ... + 2422671.

It is an arithmetic number, because the mean of its divisors is an integer number (176475780).

Almost surely, 2^11576199240 is an apocalyptic number.

11576199240 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 11576199240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765287360).

11576199240 is an abundant number, since it is smaller than the sum of its proper divisors (27954375480).

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

11576199240 is an equidigital number, since it uses as much as digits as its factorization.

11576199240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11576199240 in words is "eleven billion, five hundred seventy-six million, one hundred ninety-nine thousand, two hundred forty".