11580341760 has 720 divisors, whose sum is σ = 46194980832. Its totient is φ = 2660106240.

The previous prime is 11580341723. The next prime is 11580341777. The reversal of 11580341760 is 6714308511.

11580341760 is a `hidden beast` number, since 1 + 1 + 580 + 3 + 4 + 1 + 76 + 0 = 666.

11580341760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 71 ways as a sum of consecutive naturals, for example, 282447340 + ... + 282447380.

Almost surely, 2^11580341760 is an apocalyptic number.

11580341760 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 11580341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097490416).

11580341760 is an abundant number, since it is smaller than the sum of its proper divisors (34614639072).

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

11580341760 is a wasteful number, since it uses less digits than its factorization.

11580341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11580341760 in words is "eleven billion, five hundred eighty million, three hundred forty-one thousand, seven hundred sixty".