10585064448 has 528 divisors, whose sum is σ = 37195791360. Its totient is φ = 2944180224.

The previous prime is 10585064429. The next prime is 10585064473. The reversal of 10585064448 is 84446058501.

It is a happy number.

10585064448 is a `hidden beast` number, since 1 + 0 + 585 + 0 + 64 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×10585064448² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102767565 + ... + 102767667.

Almost surely, 2^10585064448 is an apocalyptic number.

10585064448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10585064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597895680).

10585064448 is an abundant number, since it is smaller than the sum of its proper divisors (26610726912).

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

10585064448 is an equidigital number, since it uses as much as digits as its factorization.

10585064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 10585064448 in words is "ten billion, five hundred eighty-five million, sixty-four thousand, four hundred forty-eight".