982921816800 has 2592 divisors, whose sum is σ = 4862501280000. Its totient is φ = 181746892800.

The previous prime is 982921816777. The next prime is 982921816801. The reversal of 982921816800 is 8618129289.

982921816800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×982921816800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982921816801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1969782951 + ... + 1969783449.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965000).

Almost surely, 2^982921816800 is an apocalyptic number.

982921816800 is a gapful number since it is divisible by the number (90) 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 982921816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431250640000).

982921816800 is an abundant number, since it is smaller than the sum of its proper divisors (3879579463200).

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

982921816800 is a wasteful number, since it uses less digits than its factorization.

982921816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 982921816800 in words is "nine hundred eighty-two billion, nine hundred twenty-one million, eight hundred sixteen thousand, eight hundred".