10585294242 has 16 divisors (see below), whose sum is σ = 21175254912. Its totient is φ = 3527653680.

The previous prime is 10585294217. The next prime is 10585294243. The reversal of 10585294242 is 24249258501.

It is a super-2 number, since 2×10585294242² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585294194 and 10585294203.

It is not an unprimeable number, because it can be changed into a prime (10585294243) 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 7 ways as a sum of consecutive naturals, for example, 164593 + ... + 219684.

It is an arithmetic number, because the mean of its divisors is an integer number (1323453432).

Almost surely, 2^10585294242 is an apocalyptic number.

10585294242 is an abundant number, since it is smaller than the sum of its proper divisors (10589960670).

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

10585294242 is a wasteful number, since it uses less digits than its factorization.

10585294242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388873.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 10585294242 in words is "ten billion, five hundred eighty-five million, two hundred ninety-four thousand, two hundred forty-two".