5606827200 has 504 divisors, whose sum is σ = 21857153136. Its totient is φ = 1354752000.

The previous prime is 5606827199. The next prime is 5606827223. The reversal of 5606827200 is 27286065.

5606827200 is a `hidden beast` number, since 5 + 606 + 8 + 27 + 20 + 0 = 666.

It is a super-2 number, since 2×5606827200² = 62873022501319680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11418955 + ... + 11419445.

Almost surely, 2^5606827200 is an apocalyptic number.

5606827200 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 5606827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928576568).

5606827200 is an abundant number, since it is smaller than the sum of its proper divisors (16250325936).

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

5606827200 is a wasteful number, since it uses less digits than its factorization.

5606827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5606827200 is about 74878.7499895665. The cubic root of 5606827200 is about 1776.5293649647.

The spelling of 5606827200 in words is "five billion, six hundred six million, eight hundred twenty-seven thousand, two hundred".