5526543600 has 480 divisors, whose sum is σ = 21521479680. Its totient is φ = 1340928000.

The previous prime is 5526543599. The next prime is 5526543611. The reversal of 5526543600 is 63456255.

It is a happy number.

5526543600 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 5 + 43 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5691115 + ... + 5692085.

It is an arithmetic number, because the mean of its divisors is an integer number (44836416).

Almost surely, 2^5526543600 is an apocalyptic number.

5526543600 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 5526543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760739840).

5526543600 is an abundant number, since it is smaller than the sum of its proper divisors (15994936080).

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

5526543600 is a wasteful number, since it uses less digits than its factorization.

5526543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5526543600 is about 74340.7263887030. The cubic root of 5526543600 is about 1768.0092527651.

Subtracting from 5526543600 its product of nonzero digits (108000), we obtain a square (5526435600 = 74340²).

Adding to 5526543600 its reverse (63456255), we get a palindrome (5589999855).

The spelling of 5526543600 in words is "five billion, five hundred twenty-six million, five hundred forty-three thousand, six hundred".