1828201920000 has 400 divisors, whose sum is σ = 6350797094400. Its totient is φ = 466318336000.

The previous prime is 1828201919969. The next prime is 1828201920029. The reversal of 1828201920000 is 291028281.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22038601 + ... + 22121399.

It is an arithmetic number, because the mean of its divisors is an integer number (15876992736).

Almost surely, 2^{1828201920000} is an apocalyptic number.

1828201920000 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 1828201920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175398547200).

1828201920000 is an abundant number, since it is smaller than the sum of its proper divisors (4522595174400).

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

1828201920000 is an frugal number, since it uses more digits than its factorization.

1828201920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82863 (or 82832 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

Adding to 1828201920000 its reverse (291028281), we get a palindrome (1828492948281).

The spelling of 1828201920000 in words is "one trillion, eight hundred twenty-eight billion, two hundred one million, nine hundred twenty thousand".