448010085760 has 32 divisors (see below), whose sum is σ = 1071024112800. Its totient is φ = 179204034048.

The previous prime is 448010085737. The next prime is 448010085797. The reversal of 448010085760 is 67580010844.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 350007240 + ... + 350008519.

It is an arithmetic number, because the mean of its divisors is an integer number (33469503525).

Almost surely, 2^448010085760 is an apocalyptic number.

448010085760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448010085760 is an abundant number, since it is smaller than the sum of its proper divisors (623014027040).

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

448010085760 is an equidigital number, since it uses as much as digits as its factorization.

448010085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700015778 (or 700015766 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 448010085760 in words is "four hundred forty-eight billion, ten million, eighty-five thousand, seven hundred sixty".