5812605321600 has 1536 divisors, whose sum is σ = 24478433280000. Its totient is φ = 1201785446400.

The previous prime is 5812605321599. The next prime is 5812605321631. The reversal of 5812605321600 is 61235062185.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13872566191 + ... + 13872566609.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480000).

Almost surely, 2^{5812605321600} is an apocalyptic number.

5812605321600 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 5812605321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239216640000).

5812605321600 is an abundant number, since it is smaller than the sum of its proper divisors (18665827958400).

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

5812605321600 is a wasteful number, since it uses less digits than its factorization.

5812605321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 5812605321600 in words is "five trillion, eight hundred twelve billion, six hundred five million, three hundred twenty-one thousand, six hundred".