10082582888448 has 256 divisors, whose sum is σ = 30752167680000. Its totient is φ = 2878416617472.

The previous prime is 10082582888429. The next prime is 10082582888467. The reversal of 10082582888448 is 84488828528001.

It is an interprime number because it is at equal distance from previous prime (10082582888429) and next prime (10082582888467).

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969567153 + ... + 969577551.

It is an arithmetic number, because the mean of its divisors is an integer number (120125655000).

Almost surely, 2^{10082582888448} 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 10082582888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376083840000).

10082582888448 is an abundant number, since it is smaller than the sum of its proper divisors (20669584791552).

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

10082582888448 is an equidigital number, since it uses as much as digits as its factorization.

10082582888448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 83886080, while the sum is 66.

The spelling of 10082582888448 in words is "ten trillion, eighty-two billion, five hundred eighty-two million, eight hundred eighty-eight thousand, four hundred forty-eight".