21585863248 has 40 divisors (see below), whose sum is σ = 43515016200. Its totient is φ = 10360487424.

The previous prime is 21585863209. The next prime is 21585863279. The reversal of 21585863248 is 84236858512.

It can be written as a sum of positive squares in 4 ways, for example, as 1690196544 + 19895666704 = 41112^2 + 141052^2 .

It is a super-2 number, since 2×21585863248² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21585863195 and 21585863204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54183 + ... + 214726.

It is an arithmetic number, because the mean of its divisors is an integer number (1087875405).

Almost surely, 2^21585863248 is an apocalyptic number.

It is an amenable number.

21585863248 is an abundant number, since it is smaller than the sum of its proper divisors (21929152952).

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

21585863248 is a wasteful number, since it uses less digits than its factorization.

21585863248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269119 (or 269113 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 21585863248 in words is "twenty-one billion, five hundred eighty-five million, eight hundred sixty-three thousand, two hundred forty-eight".