10850448000 has 512 divisors, whose sum is σ = 42119700480. Its totient is φ = 2419200000.

The previous prime is 10850447977. The next prime is 10850448023. The reversal of 10850448000 is 84405801.

It is an interprime number because it is at equal distance from previous prime (10850447977) and next prime (10850448023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447625 + ... + 14448375.

It is an arithmetic number, because the mean of its divisors is an integer number (82265040).

Almost surely, 2^10850448000 is an apocalyptic number.

10850448000 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 10850448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21059850240).

10850448000 is an abundant number, since it is smaller than the sum of its proper divisors (31269252480).

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

10850448000 is an equidigital number, since it uses as much as digits as its factorization.

10850448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 10850448000 in words is "ten billion, eight hundred fifty million, four hundred forty-eight thousand".