5971968000000 has 980 divisors, whose sum is σ = 22384332129225. Its totient is φ = 1592524800000.

The previous prime is 5971967999993. The next prime is 5971968000001. The reversal of 5971968000000 is 8691795.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)⁶ ⋅ 2!.

It can be written as a sum of positive squares in 4 ways, for example, as 1018387759104 + 4953580240896 = 1009152^2 + 2225664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1728000.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5971968000000.

It is not an unprimeable number, because it can be changed into a prime (5971968000001) by changing a digit.

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 48 ways as a sum of consecutive naturals, for example, 1194393599998 + ... + 1194393600002.

Almost surely, 2^{5971968000000} is an apocalyptic number.

5971968000000 is a gapful number since it is divisible by the number (50) 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 5971968000000

5971968000000 is an abundant number, since it is smaller than the sum of its proper divisors (16412364129225).

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

5971968000000 is an frugal number, since it uses more digits than its factorization.

5971968000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 5971968000000 in words is "five trillion, nine hundred seventy-one billion, nine hundred sixty-eight million", and thus it is an aban number.