11586079680 has 224 divisors, whose sum is σ = 42214556160. Its totient is φ = 2637312000.

The previous prime is 11586079667. The next prime is 11586079709. The reversal of 11586079680 is 8697068511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683286 + ... + 1690154.

It is an arithmetic number, because the mean of its divisors is an integer number (188457840).

Almost surely, 2^11586079680 is an apocalyptic number.

11586079680 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 11586079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21107278080).

11586079680 is an abundant number, since it is smaller than the sum of its proper divisors (30628476480).

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

11586079680 is a wasteful number, since it uses less digits than its factorization.

11586079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 11586079680 in words is "eleven billion, five hundred eighty-six million, seventy-nine thousand, six hundred eighty".