11560744440 has 864 divisors, whose sum is σ = 48464956800. Its totient is φ = 2469035520.

The previous prime is 11560744343. The next prime is 11560744441. The reversal of 11560744440 is 4444706511.

It is a happy number.

11560744440 is a `hidden beast` number, since 1 + 1 + 5 + 607 + 4 + 4 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11560744395 and 11560744404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11560744441) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 372927225 + ... + 372927255.

It is an arithmetic number, because the mean of its divisors is an integer number (56093700).

Almost surely, 2^11560744440 is an apocalyptic number.

11560744440 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 11560744440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24232478400).

11560744440 is an abundant number, since it is smaller than the sum of its proper divisors (36904212360).

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

11560744440 is an equidigital number, since it uses as much as digits as its factorization.

11560744440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 11560744440 in words is "eleven billion, five hundred sixty million, seven hundred forty-four thousand, four hundred forty".