5705260800 has 216 divisors, whose sum is σ = 18954453504. Its totient is φ = 1511239680.

The previous prime is 5705260793. The next prime is 5705260807. The reversal of 5705260800 is 80625075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5705260793) and next prime (5705260807).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705260807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3128689 + ... + 3130511.

Almost surely, 2^5705260800 is an apocalyptic number.

5705260800 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 5705260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477226752).

5705260800 is an abundant number, since it is smaller than the sum of its proper divisors (13249192704).

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

5705260800 is a wasteful number, since it uses less digits than its factorization.

5705260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5705260800 is about 75533.1768165486. The cubic root of 5705260800 is about 1786.8653772702.

Adding to 5705260800 its reverse (80625075), we get a palindrome (5785885875).

The spelling of 5705260800 in words is "five billion, seven hundred five million, two hundred sixty thousand, eight hundred".