5968857600 has 720 divisors, whose sum is σ = 23548805280. Its totient is φ = 1492992000.

The previous prime is 5968857599. The next prime is 5968857617. The reversal of 5968857600 is 67588695.

5968857600 is a `hidden beast` number, since 5 + 9 + 68 + 8 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5968857600² = 71254522098155520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59097550 + ... + 59097650.

It is an arithmetic number, because the mean of its divisors is an integer number (32706674).

Almost surely, 2^5968857600 is an apocalyptic number.

5968857600 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 5968857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774402640).

5968857600 is an abundant number, since it is smaller than the sum of its proper divisors (17579947680).

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

5968857600 is a wasteful number, since it uses less digits than its factorization.

5968857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5968857600 is about 77258.3820695205. The cubic root of 5968857600 is about 1813.9712768862.

The spelling of 5968857600 in words is "five billion, nine hundred sixty-eight million, eight hundred fifty-seven thousand, six hundred".