5805797732800 has 336 divisors, whose sum is σ = 15483087144000. Its totient is φ = 2130031411200.

The previous prime is 5805797732783. The next prime is 5805797732803. The reversal of 5805797732800 is 82377975085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5805797732803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512243645 + ... + 2512245955.

It is an arithmetic number, because the mean of its divisors is an integer number (46080616500).

Almost surely, 2^{5805797732800} is an apocalyptic number.

5805797732800 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 5805797732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741543572000).

5805797732800 is an abundant number, since it is smaller than the sum of its proper divisors (9677289411200).

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

5805797732800 is a wasteful number, since it uses less digits than its factorization.

5805797732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 61.

The spelling of 5805797732800 in words is "five trillion, eight hundred five billion, seven hundred ninety-seven million, seven hundred thirty-two thousand, eight hundred".