5538556800 has 576 divisors, whose sum is σ = 22927282560. Its totient is φ = 1246924800.

The previous prime is 5538556789. The next prime is 5538556817. The reversal of 5538556800 is 86558355.

5538556800 is a `hidden beast` number, since 5 + 5 + 3 + 85 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5538556800² = 61351222853652480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16732635 + ... + 16732965.

It is an arithmetic number, because the mean of its divisors is an integer number (39804310).

Almost surely, 2^5538556800 is an apocalyptic number.

5538556800 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 5538556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463641280).

5538556800 is an abundant number, since it is smaller than the sum of its proper divisors (17388725760).

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

5538556800 is a wasteful number, since it uses less digits than its factorization.

5538556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5538556800 is about 74421.4807700035. The cubic root of 5538556800 is about 1769.2893824603.

The spelling of 5538556800 in words is "five billion, five hundred thirty-eight million, five hundred fifty-six thousand, eight hundred".