5805052800 has 384 divisors, whose sum is σ = 20325841920. Its totient is φ = 1453056000.

The previous prime is 5805052769. The next prime is 5805052801. The reversal of 5805052800 is 82505085.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5805052801) 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, 13468585 + ... + 13469015.

It is an arithmetic number, because the mean of its divisors is an integer number (52931880).

Almost surely, 2^5805052800 is an apocalyptic number.

5805052800 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 5805052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162920960).

5805052800 is an abundant number, since it is smaller than the sum of its proper divisors (14520789120).

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

5805052800 is a wasteful number, since it uses less digits than its factorization.

5805052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 5805052800 is about 76190.8970940755. The cubic root of 5805052800 is about 1797.2233733815.

Adding to 5805052800 its reverse (82505085), we get a palindrome (5887557885).

The spelling of 5805052800 in words is "five billion, eight hundred five million, fifty-two thousand, eight hundred".