11360896560 has 360 divisors, whose sum is σ = 41913031680. Its totient is φ = 2756063232.

The previous prime is 11360896489. The next prime is 11360896609. The reversal of 11360896560 is 6569806311.

11360896560 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 89 + 6 + 560 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8882001 + ... + 8883279.

It is an arithmetic number, because the mean of its divisors is an integer number (116425088).

Almost surely, 2^11360896560 is an apocalyptic number.

11360896560 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 11360896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956515840).

11360896560 is an abundant number, since it is smaller than the sum of its proper divisors (30552135120).

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

11360896560 is a wasteful number, since it uses less digits than its factorization.

11360896560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11360896560 in words is "eleven billion, three hundred sixty million, eight hundred ninety-six thousand, five hundred sixty".