11344412560 has 320 divisors, whose sum is σ = 30778030080. Its totient is φ = 3857817600.

The previous prime is 11344412551. The next prime is 11344412591. The reversal of 11344412560 is 6521444311.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75128485 + ... + 75128635.

It is an arithmetic number, because the mean of its divisors is an integer number (96181344).

Almost surely, 2^11344412560 is an apocalyptic number.

11344412560 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 11344412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389015040).

11344412560 is an abundant number, since it is smaller than the sum of its proper divisors (19433617520).

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

11344412560 is a wasteful number, since it uses less digits than its factorization.

11344412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 11344412560 its reverse (6521444311), we get a palindrome (17865856871).

The spelling of 11344412560 in words is "eleven billion, three hundred forty-four million, four hundred twelve thousand, five hundred sixty".