5592268800 has 540 divisors, whose sum is σ = 21075341196. Its totient is φ = 1415577600.

The previous prime is 5592268789. The next prime is 5592268807. The reversal of 5592268800 is 88622955.

It can be written as a sum of positive squares in 6 ways, for example, as 212926464 + 5379342336 = 14592^2 + 73344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5592268807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136396780 + ... + 136396820.

Almost surely, 2^5592268800 is an apocalyptic number.

5592268800 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 5592268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537670598).

5592268800 is an abundant number, since it is smaller than the sum of its proper divisors (15483072396).

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

5592268800 is a wasteful number, since it uses less digits than its factorization.

5592268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5592268800 is about 74781.4736415377. The cubic root of 5592268800 is about 1774.9904171935.

The spelling of 5592268800 in words is "five billion, five hundred ninety-two million, two hundred sixty-eight thousand, eight hundred".