11584828870771 has 24 divisors (see below), whose sum is σ = 12787928984880. Its totient is φ = 10486403231616.

The previous prime is 11584828870763. The next prime is 11584828870789. The reversal of 11584828870771 is 17707882848511.

It is not a de Polignac number, because 11584828870771 - 2³ = 11584828870763 is a prime.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11584828870697 and 11584828870706.

It is not an unprimeable number, because it can be changed into a prime (11584828870721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16741885 + ... + 17420113.

It is an arithmetic number, because the mean of its divisors is an integer number (532830374370).

Almost surely, 2^{11584828870771} is an apocalyptic number.

11584828870771 is a deficient number, since it is larger than the sum of its proper divisors (1203100114109).

11584828870771 is a wasteful number, since it uses less digits than its factorization.

11584828870771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680215 (or 680202 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 67.

The spelling of 11584828870771 in words is "eleven trillion, five hundred eighty-four billion, eight hundred twenty-eight million, eight hundred seventy thousand, seven hundred seventy-one".