10505585544 has 32 divisors (see below), whose sum is σ = 26415789120. Its totient is φ = 3481618496.

The previous prime is 10505585539. The next prime is 10505585551. The reversal of 10505585544 is 44558550501.

It is a super-2 number, since 2×10505585544² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505585496 and 10505585505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260972 + ... + 1269275.

It is an arithmetic number, because the mean of its divisors is an integer number (825493410).

Almost surely, 2^10505585544 is an apocalyptic number.

It is an amenable number.

10505585544 is an abundant number, since it is smaller than the sum of its proper divisors (15910203576).

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

10505585544 is a wasteful number, since it uses less digits than its factorization.

10505585544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530429 (or 2530425 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 42.

The spelling of 10505585544 in words is "ten billion, five hundred five million, five hundred eighty-five thousand, five hundred forty-four".