6550525800 has 864 divisors, whose sum is σ = 28654025400. Its totient is φ = 1327656960.

The previous prime is 6550525777. The next prime is 6550525819. The reversal of 6550525800 is 85250556.

6550525800 is a `hidden beast` number, since 6 + 5 + 50 + 525 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 942612804 + 5607912996 = 30702^2 + 74886^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33251302 + ... + 33251498.

Almost surely, 2^6550525800 is an apocalyptic number.

6550525800 is a gapful number since it is divisible by the number (60) 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 6550525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327012700).

6550525800 is an abundant number, since it is smaller than the sum of its proper divisors (22103499600).

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

6550525800 is a wasteful number, since it uses less digits than its factorization.

6550525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 6550525800 is about 80935.3186192530. The cubic root of 6550525800 is about 1871.0786955149.

The spelling of 6550525800 in words is "six billion, five hundred fifty million, five hundred twenty-five thousand, eight hundred".