11381240160 has 288 divisors, whose sum is σ = 41013423360. Its totient is φ = 2866074624.

The previous prime is 11381240159. The next prime is 11381240173. The reversal of 11381240160 is 6104218311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13761667 + ... + 13762493.

It is an arithmetic number, because the mean of its divisors is an integer number (142407720).

Almost surely, 2^11381240160 is an apocalyptic number.

11381240160 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 11381240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506711680).

11381240160 is an abundant number, since it is smaller than the sum of its proper divisors (29632183200).

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

11381240160 is a wasteful number, since it uses less digits than its factorization.

11381240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

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

Adding to 11381240160 its reverse (6104218311), we get a palindrome (17485458471).

The spelling of 11381240160 in words is "eleven billion, three hundred eighty-one million, two hundred forty thousand, one hundred sixty".