5905342800 has 360 divisors, whose sum is σ = 24452452800. Its totient is φ = 1349671680.

The previous prime is 5905342787. The next prime is 5905342801. The reversal of 5905342800 is 82435095.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905342801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523621 + ... + 534779.

It is an arithmetic number, because the mean of its divisors is an integer number (67923480).

Almost surely, 2^5905342800 is an apocalyptic number.

5905342800 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 5905342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226226400).

5905342800 is an abundant number, since it is smaller than the sum of its proper divisors (18547110000).

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

5905342800 is a wasteful number, since it uses less digits than its factorization.

5905342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5905342800 is about 76846.2282743922. The cubic root of 5905342800 is about 1807.5141439295.

Adding to 5905342800 its reverse (82435095), we get a palindrome (5987777895).

The spelling of 5905342800 in words is "five billion, nine hundred five million, three hundred forty-two thousand, eight hundred".