11360416128 has 128 divisors (see below), whose sum is σ = 31769556480. Its totient is φ = 3589791744.

The previous prime is 11360416127. The next prime is 11360416129. The reversal of 11360416128 is 82161406311.

It is an interprime number because it is at equal distance from previous prime (11360416127) and next prime (11360416129).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360416127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 992325 + ... + 1003707.

It is an arithmetic number, because the mean of its divisors is an integer number (248199660).

Almost surely, 2^11360416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11360416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884778240).

11360416128 is an abundant number, since it is smaller than the sum of its proper divisors (20409140352).

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

11360416128 is a wasteful number, since it uses less digits than its factorization.

11360416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11360416128 in words is "eleven billion, three hundred sixty million, four hundred sixteen thousand, one hundred twenty-eight".