11368591560 has 288 divisors, whose sum is σ = 40444929720. Its totient is φ = 2759823360.

The previous prime is 11368591517. The next prime is 11368591567. The reversal of 11368591560 is 6519586311.

11368591560 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 8 + 591 + 56 + 0 = 666.

11368591560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10810592676 + 557998884 = 103974^2 + 23622^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11368591567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5880354 + ... + 5882286.

Almost surely, 2^11368591560 is an apocalyptic number.

11368591560 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 11368591560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222464860).

11368591560 is an abundant number, since it is smaller than the sum of its proper divisors (29076338160).

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

11368591560 is a wasteful number, since it uses less digits than its factorization.

11368591560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11368591560 in words is "eleven billion, three hundred sixty-eight million, five hundred ninety-one thousand, five hundred sixty".