5616871200 has 324 divisors, whose sum is σ = 20913477858. Its totient is φ = 1418342400.

The previous prime is 5616871199. The next prime is 5616871207. The reversal of 5616871200 is 21786165.

5616871200 is a `hidden beast` number, since 561 + 6 + 8 + 71 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4462774416 + 1154096784 = 66804^2 + 33972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5616871207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2598120 + ... + 2600280.

Almost surely, 2^5616871200 is an apocalyptic number.

5616871200 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 5616871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456738929).

5616871200 is an abundant number, since it is smaller than the sum of its proper divisors (15296606658).

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

5616871200 is a wasteful number, since it uses less digits than its factorization.

5616871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5616871200 is about 74945.7884073548. The cubic root of 5616871200 is about 1777.5895496316.

The spelling of 5616871200 in words is "five billion, six hundred sixteen million, eight hundred seventy-one thousand, two hundred".