7983711120000 has 960 divisors, whose sum is σ = 33629402521440. Its totient is φ = 1658926080000.

The previous prime is 7983711119947. The next prime is 7983711120001. The reversal of 7983711120000 is 211173897.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7983711120000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7983711120001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 129329142 + ... + 129390858.

Almost surely, 2^{7983711120000} is an apocalyptic number.

7983711120000 is a gapful number since it is divisible by the number (70) 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 7983711120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814701260720).

7983711120000 is an abundant number, since it is smaller than the sum of its proper divisors (25645691401440).

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

7983711120000 is a wasteful number, since it uses less digits than its factorization.

7983711120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61779 (or 61745 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

Adding to 7983711120000 its reverse (211173897), we get a palindrome (7983922293897).

The spelling of 7983711120000 in words is "seven trillion, nine hundred eighty-three billion, seven hundred eleven million, one hundred twenty thousand".