5967871504 has 135 divisors (see below), whose sum is σ = 14056348941. Its totient is φ = 2447343360.

The previous prime is 5967871489. The next prime is 5967871543. The reversal of 5967871504 is 4051787695.

The square root of 5967871504 is 77252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1145957904 + 4821913600 = 33852^2 + 69440^2 .

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 26 ways as a sum of consecutive naturals, for example, 67054692 + ... + 67054780.

Almost surely, 2^5967871504 is an apocalyptic number.

5967871504 is the 77252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5967871504

5967871504 is an abundant number, since it is smaller than the sum of its proper divisors (8088477437).

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

5967871504 is an equidigital number, since it uses as much as digits as its factorization.

5967871504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The cubic root of 5967871504 is about 1813.8713779076.

The spelling of 5967871504 in words is "five billion, nine hundred sixty-seven million, eight hundred seventy-one thousand, five hundred four".