11685442560 has 704 divisors, whose sum is σ = 44370837504. Its totient is φ = 2595225600.

The previous prime is 11685442547. The next prime is 11685442577. The reversal of 11685442560 is 6524458611.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120468432 + ... + 120468528.

Almost surely, 2^11685442560 is an apocalyptic number.

11685442560 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 11685442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185418752).

11685442560 is an abundant number, since it is smaller than the sum of its proper divisors (32685394944).

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

11685442560 is a wasteful number, since it uses less digits than its factorization.

11685442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11685442560 in words is "eleven billion, six hundred eighty-five million, four hundred forty-two thousand, five hundred sixty".