5968600128 has 224 divisors, whose sum is σ = 18393989120. Its totient is φ = 1895477760.

The previous prime is 5968600117. The next prime is 5968600139. The reversal of 5968600128 is 8210068695.

It is an interprime number because it is at equal distance from previous prime (5968600117) and next prime (5968600139).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3588225 + ... + 3589887.

Almost surely, 2^5968600128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5968600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196994560).

5968600128 is an abundant number, since it is smaller than the sum of its proper divisors (12425388992).

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

5968600128 is a wasteful number, since it uses less digits than its factorization.

5968600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5968600128 is about 77256.7157469174. The cubic root of 5968600128 is about 1813.9451940878.

The spelling of 5968600128 in words is "five billion, nine hundred sixty-eight million, six hundred thousand, one hundred twenty-eight".