1982159140500 has 2304 divisors, whose sum is σ = 8714870341632. Its totient is φ = 383885568000.

The previous prime is 1982159140469. The next prime is 1982159140519. The reversal of 1982159140500 is 50419512891.

1982159140500 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 1 + 591 + 4 + 0 + 50 + 0 = 666.

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

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 19244263449 + ... + 19244263551.

It is an arithmetic number, because the mean of its divisors is an integer number (3782495808).

Almost surely, 2^{1982159140500} is an apocalyptic number.

1982159140500 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 1982159140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357435170816).

1982159140500 is an abundant number, since it is smaller than the sum of its proper divisors (6732711201132).

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

1982159140500 is a wasteful number, since it uses less digits than its factorization.

1982159140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1982159140500 in words is "one trillion, nine hundred eighty-two billion, one hundred fifty-nine million, one hundred forty thousand, five hundred".