5300268800 has 108 divisors (see below), whose sum is σ = 13224320256. Its totient is φ = 2103091200.

The previous prime is 5300268773. The next prime is 5300268817. The reversal of 5300268800 is 88620035.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 809540 + ... + 816060.

Almost surely, 2^5300268800 is an apocalyptic number.

5300268800 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 5300268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612160128).

5300268800 is an abundant number, since it is smaller than the sum of its proper divisors (7924051456).

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

5300268800 is a wasteful number, since it uses less digits than its factorization.

5300268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5300268800 is about 72802.9449953778. The cubic root of 5300268800 is about 1743.5428760123.

Adding to 5300268800 its reverse (88620035), we get a palindrome (5388888835).

The spelling of 5300268800 in words is "five billion, three hundred million, two hundred sixty-eight thousand, eight hundred".