5968928000 has 144 divisors (see below), whose sum is σ = 16994175744. Its totient is φ = 2046412800.

The previous prime is 5968927981. The next prime is 5968928011. The reversal of 5968928000 is 8298695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210677 + ... + 237323.

Almost surely, 2^5968928000 is an apocalyptic number.

5968928000 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 5968928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497087872).

5968928000 is an abundant number, since it is smaller than the sum of its proper divisors (11025247744).

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

5968928000 is an equidigital number, since it uses as much as digits as its factorization.

5968928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26685 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 5968928000 is about 77258.8376821707. The cubic root of 5968928000 is about 1813.9784085176.

The spelling of 5968928000 in words is "five billion, nine hundred sixty-eight million, nine hundred twenty-eight thousand".