5509468800 has 1152 divisors, whose sum is σ = 24223449600. Its totient is φ = 1216512000.

The previous prime is 5509468781. The next prime is 5509468819. The reversal of 5509468800 is 88649055.

5509468800 is a `hidden beast` number, since 5 + 509 + 4 + 68 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5509468781) and next prime (5509468819).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177724785 + ... + 177724815.

It is an arithmetic number, because the mean of its divisors is an integer number (21027300).

Almost surely, 2^5509468800 is an apocalyptic number.

5509468800 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 5509468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

5509468800 is an abundant number, since it is smaller than the sum of its proper divisors (18713980800).

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

5509468800 is a wasteful number, since it uses less digits than its factorization.

5509468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

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

The square root of 5509468800 is about 74225.7960550104. The cubic root of 5509468800 is about 1766.1865615217.

The spelling of 5509468800 in words is "five billion, five hundred nine million, four hundred sixty-eight thousand, eight hundred".