11655781760 has 512 divisors, whose sum is σ = 35533209600. Its totient is φ = 3568435200.

The previous prime is 11655781759. The next prime is 11655781777. The reversal of 11655781760 is 6718755611.

11655781760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130963796 + ... + 130963884.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 2^11655781760 is an apocalyptic number.

11655781760 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 11655781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766604800).

11655781760 is an abundant number, since it is smaller than the sum of its proper divisors (23877427840).

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

11655781760 is a wasteful number, since it uses less digits than its factorization.

11655781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 11655781760 in words is "eleven billion, six hundred fifty-five million, seven hundred eighty-one thousand, seven hundred sixty".