10448895680 has 56 divisors (see below), whose sum is σ = 24966576432. Its totient is φ = 4165256192.

The previous prime is 10448895679. The next prime is 10448895707. The reversal of 10448895680 is 8659884401.

It is a happy number.

It is an unprimeable number.

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, 38039 + ... + 149481.

It is an arithmetic number, because the mean of its divisors is an integer number (445831722).

Almost surely, 2^10448895680 is an apocalyptic number.

10448895680 is a gapful number since it is divisible by the number (10) 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 10448895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483288216).

10448895680 is an abundant number, since it is smaller than the sum of its proper divisors (14517680752).

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

10448895680 is a wasteful number, since it uses less digits than its factorization.

10448895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111753 (or 111743 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 10448895680 in words is "ten billion, four hundred forty-eight million, eight hundred ninety-five thousand, six hundred eighty".