5971968000 has 476 divisors, whose sum is σ = 22348654068. Its totient is φ = 1592524800.

The previous prime is 5971967977. The next prime is 5971968031. The reversal of 5971968000 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 (6!)³ ⋅ (2!)⁴.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 5780865024 = 13824^2 + 76032^2 .

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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1194393598 + ... + 1194393602.

Almost surely, 2^5971968000 is an apocalyptic number.

5971968000 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 5971968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174327034).

5971968000 is an abundant number, since it is smaller than the sum of its proper divisors (16376686068).

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

5971968000 is an frugal number, since it uses more digits than its factorization.

5971968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 10 counting only the distinct ones).

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

The square root of 5971968000 is about 77278.5093023927. The cubic root of 5971968000 is about 1814.2863118486.

Multiplying 5971968000 by its sum of digits (45), we get a 4-th power (268738560000 = 720⁴).

5971968000 divided by its sum of digits (45) gives a square (132710400 = 11520²).

The spelling of 5971968000 in words is "five billion, nine hundred seventy-one million, nine hundred sixty-eight thousand".