5560120800 has 288 divisors, whose sum is σ = 21657051360. Its totient is φ = 1368576000.

The previous prime is 5560120757. The next prime is 5560120829. The reversal of 5560120800 is 80210655.

5560120800 is a `hidden beast` number, since 5 + 560 + 1 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270900 + ... + 290700.

It is an arithmetic number, because the mean of its divisors is an integer number (75198095).

Almost surely, 2^5560120800 is an apocalyptic number.

5560120800 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 5560120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828525680).

5560120800 is an abundant number, since it is smaller than the sum of its proper divisors (16096930560).

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

5560120800 is a wasteful number, since it uses less digits than its factorization.

5560120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19843 (or 19824 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5560120800 is about 74566.2175519182. The cubic root of 5560120800 is about 1771.5826120938.

The spelling of 5560120800 in words is "five billion, five hundred sixty million, one hundred twenty thousand, eight hundred".