5965608000 has 448 divisors, whose sum is σ = 21910487040. Its totient is φ = 1417984000.

The previous prime is 5965607969. The next prime is 5965608071. The reversal of 5965608000 is 8065695.

It is a self number, because there is not a number n which added to its sum of digits gives 5965608000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15575809 + ... + 15576191.

Almost surely, 2^5965608000 is an apocalyptic number.

5965608000 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 5965608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955243520).

5965608000 is an abundant number, since it is smaller than the sum of its proper divisors (15944879040).

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

5965608000 is a wasteful number, since it uses less digits than its factorization.

5965608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5965608000 is about 77237.3484785696. The cubic root of 5965608000 is about 1813.6420262145.

The spelling of 5965608000 in words is "five billion, nine hundred sixty-five million, six hundred eight thousand".