11585643136068 has 96 divisors (see below), whose sum is σ = 29330557244800. Its totient is φ = 3546890643456.

The previous prime is 11585643136051. The next prime is 11585643136097. The reversal of 11585643136068 is 86063134658511.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 11585643135999 and 11585643136017.

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, 142213 + ... + 4815756.

Almost surely, 2^{11585643136068} 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 11585643136068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665278622400).

11585643136068 is an abundant number, since it is smaller than the sum of its proper divisors (17744914108732).

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

11585643136068 is a wasteful number, since it uses less digits than its factorization.

11585643136068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958309 (or 4958307 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 11585643136068 in words is "eleven trillion, five hundred eighty-five billion, six hundred forty-three million, one hundred thirty-six thousand, sixty-eight".