11586441646020 has 192 divisors, whose sum is σ = 33182021537280. Its totient is φ = 3020226048000.

The previous prime is 11586441645917. The next prime is 11586441646063. The reversal of 11586441646020 is 2064614468511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185580529 + ... + 185642951.

It is an arithmetic number, because the mean of its divisors is an integer number (172823028840).

Almost surely, 2^{11586441646020} is an apocalyptic number.

11586441646020 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 11586441646020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591010768640).

11586441646020 is an abundant number, since it is smaller than the sum of its proper divisors (21595579891260).

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

11586441646020 is a wasteful number, since it uses less digits than its factorization.

11586441646020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62926 (or 62924 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 11586441646020 in words is "eleven trillion, five hundred eighty-six billion, four hundred forty-one million, six hundred forty-six thousand, twenty".