11585643083872 has 144 divisors (see below), whose sum is σ = 26965674308160. Its totient is φ = 4857216499200.

The previous prime is 11585643083783. The next prime is 11585643083887. The reversal of 11585643083872 is 27838034658511.

It is a happy number.

It is a super-2 number, since 2×11585643083872² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11585643083872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74818047 + ... + 74972737.

It is an arithmetic number, because the mean of its divisors is an integer number (187261627140).

Almost surely, 2^{11585643083872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11585643083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482837154080).

11585643083872 is an abundant number, since it is smaller than the sum of its proper divisors (15380031224288).

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

11585643083872 is a wasteful number, since it uses less digits than its factorization.

11585643083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155997 (or 155976 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 11585643083872 in words is "eleven trillion, five hundred eighty-five billion, six hundred forty-three million, eighty-three thousand, eight hundred seventy-two".