18982842531840 has 2880 divisors, whose sum is σ = 82216433376000. Its totient is φ = 4138016440320.

The previous prime is 18982842531823. The next prime is 18982842531853. The reversal of 18982842531840 is 4813524828981.

18982842531840 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 28 + 425 + 3 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×18982842531840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 321743093731 + ... + 321743093789.

It is an arithmetic number, because the mean of its divisors is an integer number (28547372700).

Almost surely, 2^{18982842531840} is an apocalyptic number.

18982842531840 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 18982842531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41108216688000).

18982842531840 is an abundant number, since it is smaller than the sum of its proper divisors (63233590844160).

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

18982842531840 is an equidigital number, since it uses as much as digits as its factorization.

18982842531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 18982842531840 in words is "eighteen trillion, nine hundred eighty-two billion, eight hundred forty-two million, five hundred thirty-one thousand, eight hundred forty".