82001448000 has 336 divisors, whose sum is σ = 302803438080. Its totient is φ = 21161088000.

The previous prime is 82001447963. The next prime is 82001448007. The reversal of 82001448000 is 84410028.

It is not an unprimeable number, because it can be changed into a prime (82001448007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2213631 + ... + 2250369.

Almost surely, 2^82001448000 is an apocalyptic number.

82001448000 is a gapful number since it is divisible by the number (80) 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 82001448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151401719040).

82001448000 is an abundant number, since it is smaller than the sum of its proper divisors (220801990080).

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

82001448000 is a wasteful number, since it uses less digits than its factorization.

82001448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36803 (or 36780 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 82001448000 its reverse (84410028), we get a palindrome (82085858028).

The spelling of 82001448000 in words is "eighty-two billion, one million, four hundred forty-eight thousand".