11943106560 has 1440 divisors, whose sum is σ = 56938321440. Its totient is φ = 2335703040.

The previous prime is 11943106547. The next prime is 11943106561. The reversal of 11943106560 is 6560134911.

11943106560 is a `hidden beast` number, since 1 + 1 + 94 + 3 + 1 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11943106561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 702535672 + ... + 702535688.

It is an arithmetic number, because the mean of its divisors is an integer number (39540501).

Almost surely, 2^11943106560 is an apocalyptic number.

11943106560 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 11943106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469160720).

11943106560 is an abundant number, since it is smaller than the sum of its proper divisors (44995214880).

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

11943106560 is a wasteful number, since it uses less digits than its factorization.

11943106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11943106560 in words is "eleven billion, nine hundred forty-three million, one hundred six thousand, five hundred sixty".