5968305504000 has 2592 divisors, whose sum is σ = 26509322391552. Its totient is φ = 1310100480000.

The previous prime is 5968305503999. The next prime is 5968305504011. The reversal of 5968305504000 is 4055038695.

5968305504000 is a `hidden beast` number, since 5 + 9 + 68 + 30 + 550 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45559583935 + ... + 45559584065.

Almost surely, 2^{5968305504000} is an apocalyptic number.

5968305504000 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 5968305504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254661195776).

5968305504000 is an abundant number, since it is smaller than the sum of its proper divisors (20541016887552).

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

5968305504000 is an frugal number, since it uses more digits than its factorization.

5968305504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5968305504000 in words is "five trillion, nine hundred sixty-eight billion, three hundred five million, five hundred four thousand".