11071215360 has 216 divisors, whose sum is σ = 38426300640. Its totient is φ = 2943000576.

The previous prime is 11071215359. The next prime is 11071215361. The reversal of 11071215360 is 6351217011.

11071215360 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 121 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11071215359) and next prime (11071215361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071215361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4134342 + ... + 4137018.

It is an arithmetic number, because the mean of its divisors is an integer number (177899540).

Almost surely, 2^11071215360 is an apocalyptic number.

11071215360 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 11071215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213150320).

11071215360 is an abundant number, since it is smaller than the sum of its proper divisors (27355085280).

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

11071215360 is a wasteful number, since it uses less digits than its factorization.

11071215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11071215360 in words is "eleven billion, seventy-one million, two hundred fifteen thousand, three hundred sixty".