1982002176000 has 3584 divisors, whose sum is σ = 9814072320000. Its totient is φ = 390168576000.

The previous prime is 1982002175929. The next prime is 1982002176029. The reversal of 1982002176000 is 6712002891.

1982002176000 is a `hidden beast` number, since 1 + 9 + 8 + 20 + 0 + 21 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104315903991 + ... + 104315904009.

Almost surely, 2^{1982002176000} is an apocalyptic number.

1982002176000 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 1982002176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160000).

1982002176000 is an abundant number, since it is smaller than the sum of its proper divisors (7832070144000).

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

1982002176000 is an equidigital number, since it uses as much as digits as its factorization.

1982002176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 1982002176000 its reverse (6712002891), we get a palindrome (1988714178891).

The spelling of 1982002176000 in words is "one trillion, nine hundred eighty-two billion, two million, one hundred seventy-six thousand".