11606050040 has 64 divisors (see below), whose sum is σ = 28152653760. Its totient is φ = 4280693760.

The previous prime is 11606050039. The next prime is 11606050061. The reversal of 11606050040 is 4005060611.

11606050040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11606049988 and 11606050015.

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 15 ways as a sum of consecutive naturals, for example, 491300 + ... + 514380.

It is an arithmetic number, because the mean of its divisors is an integer number (439885215).

Almost surely, 2^11606050040 is an apocalyptic number.

11606050040 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 11606050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076326880).

11606050040 is an abundant number, since it is smaller than the sum of its proper divisors (16546603720).

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

11606050040 is a wasteful number, since it uses less digits than its factorization.

11606050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24072 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 11606050040 in words is "eleven billion, six hundred six million, fifty thousand, forty".