1982542321800 has 384 divisors, whose sum is σ = 6951997008000. Its totient is φ = 519165158400.

The previous prime is 1982542321783. The next prime is 1982542321817. The reversal of 1982542321800 is 81232452891.

1982542321800 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 5 + 423 + 218 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1982542321783) and next prime (1982542321817).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217070034 + ... + 217079166.

It is an arithmetic number, because the mean of its divisors is an integer number (18104158875).

Almost surely, 2^{1982542321800} is an apocalyptic number.

1982542321800 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 1982542321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475998504000).

1982542321800 is an abundant number, since it is smaller than the sum of its proper divisors (4969454686200).

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

1982542321800 is a wasteful number, since it uses less digits than its factorization.

1982542321800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9878 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1982542321800 in words is "one trillion, nine hundred eighty-two billion, five hundred forty-two million, three hundred twenty-one thousand, eight hundred".