11563868160 has 672 divisors, whose sum is σ = 45799004160. Its totient is φ = 2675441664.

The previous prime is 11563868137. The next prime is 11563868191. The reversal of 11563868160 is 6186836511.

11563868160 is a `hidden beast` number, since 1 + 1 + 5 + 638 + 6 + 8 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91054017 + ... + 91054143.

It is an arithmetic number, because the mean of its divisors is an integer number (68153280).

Almost surely, 2^11563868160 is an apocalyptic number.

11563868160 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 11563868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899502080).

11563868160 is an abundant number, since it is smaller than the sum of its proper divisors (34235136000).

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

11563868160 is a wasteful number, since it uses less digits than its factorization.

11563868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11563868160 in words is "eleven billion, five hundred sixty-three million, eight hundred sixty-eight thousand, one hundred sixty".