6982053120000 has 3840 divisors, whose sum is σ = 32749516800000. Its totient is φ = 1463132160000.

The previous prime is 6982053119971. The next prime is 6982053120043. The reversal of 6982053120000 is 213502896.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 225227519985 + ... + 225227520015.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520000).

Almost surely, 2^{6982053120000} is an apocalyptic number.

6982053120000 is a gapful number since it is divisible by the number (60) 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 6982053120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374758400000).

6982053120000 is an abundant number, since it is smaller than the sum of its proper divisors (25767463680000).

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

6982053120000 is an equidigital number, since it uses as much as digits as its factorization.

6982053120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 6982053120000 its reverse (213502896), we get a palindrome (6982266622896).

The spelling of 6982053120000 in words is "six trillion, nine hundred eighty-two billion, fifty-three million, one hundred twenty thousand".