5687107200 has 480 divisors, whose sum is σ = 21590230860. Its totient is φ = 1473085440.

The previous prime is 5687107169. The next prime is 5687107211. The reversal of 5687107200 is 27017865.

5687107200 is a `hidden beast` number, since 568 + 71 + 0 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3649126464 + 2037980736 = 60408^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 9590104 + ... + 9590696.

Almost surely, 2^5687107200 is an apocalyptic number.

5687107200 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 5687107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795115430).

5687107200 is an abundant number, since it is smaller than the sum of its proper divisors (15903123660).

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

5687107200 is a wasteful number, since it uses less digits than its factorization.

5687107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5687107200 is about 75412.9113613843. The cubic root of 5687107200 is about 1784.9681513984.

The spelling of 5687107200 in words is "five billion, six hundred eighty-seven million, one hundred seven thousand, two hundred".