10505585496 has 96 divisors (see below), whose sum is σ = 30669027840. Its totient is φ = 2990094912.

The previous prime is 10505585483. The next prime is 10505585509. The reversal of 10505585496 is 69458550501.

It is an interprime number because it is at equal distance from previous prime (10505585483) and next prime (10505585509).

It is a super-2 number, since 2×10505585496² (a number of 21 digits) contains 22 as substring.

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, 292305 + ... + 326271.

It is an arithmetic number, because the mean of its divisors is an integer number (319469040).

Almost surely, 2^10505585496 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 10505585496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334513920).

10505585496 is an abundant number, since it is smaller than the sum of its proper divisors (20163442344).

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

10505585496 is a wasteful number, since it uses less digits than its factorization.

10505585496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34253 (or 34242 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 10505585496 in words is "ten billion, five hundred five million, five hundred eighty-five thousand, four hundred ninety-six".