5802961305600 has 1536 divisors, whose sum is σ = 22389691968000. Its totient is φ = 1490603212800.

The previous prime is 5802961305551. The next prime is 5802961305637. The reversal of 5802961305600 is 65031692085.

5802961305600 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 9 + 6 + 1 + 30 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73455206361 + ... + 73455206439.

It is an arithmetic number, because the mean of its divisors is an integer number (14576622375).

Almost surely, 2^{5802961305600} is an apocalyptic number.

5802961305600 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 5802961305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11194845984000).

5802961305600 is an abundant number, since it is smaller than the sum of its proper divisors (16586730662400).

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

5802961305600 is an frugal number, since it uses more digits than its factorization.

5802961305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 5802961305600 its reverse (65031692085), we get a palindrome (5867992997685).

The spelling of 5802961305600 in words is "five trillion, eight hundred two billion, nine hundred sixty-one million, three hundred five thousand, six hundred".