5968550400 has 480 divisors, whose sum is σ = 21481625088. Its totient is φ = 1454899200.

The previous prime is 5968550381. The next prime is 5968550437. The reversal of 5968550400 is 40558695.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26764689 + ... + 26764911.

Almost surely, 2^5968550400 is an apocalyptic number.

5968550400 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 5968550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740812544).

5968550400 is an abundant number, since it is smaller than the sum of its proper divisors (15513074688).

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

5968550400 is a wasteful number, since it uses less digits than its factorization.

5968550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 5968550400 is about 77256.3939101483. The cubic root of 5968550400 is about 1813.9401563841.

The spelling of 5968550400 in words is "five billion, nine hundred sixty-eight million, five hundred fifty thousand, four hundred".