11241308160 has 360 divisors, whose sum is σ = 39666419520. Its totient is φ = 2944401408.

The previous prime is 11241308159. The next prime is 11241308161. The reversal of 11241308160 is 6180314211.

It is a happy number.

11241308160 is a `hidden beast` number, since 112 + 413 + 0 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11241308159) and next prime (11241308161).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (11241308161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58245024 + ... + 58245216.

Almost surely, 2^11241308160 is an apocalyptic number.

11241308160 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 11241308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833209760).

11241308160 is an abundant number, since it is smaller than the sum of its proper divisors (28425111360).

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

11241308160 is an equidigital number, since it uses as much as digits as its factorization.

11241308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11241308160 in words is "eleven billion, two hundred forty-one million, three hundred eight thousand, one hundred sixty".