5286670200 has 768 divisors, whose sum is σ = 23248512000. Its totient is φ = 1074954240.

The previous prime is 5286670187. The next prime is 5286670243. The reversal of 5286670200 is 20766825.

5286670200 is a `hidden beast` number, since 528 + 66 + 70 + 2 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 12209184 + ... + 12209616.

It is an arithmetic number, because the mean of its divisors is an integer number (30271500).

Almost surely, 2^5286670200 is an apocalyptic number.

5286670200 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 5286670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256000).

5286670200 is an abundant number, since it is smaller than the sum of its proper divisors (17961841800).

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

5286670200 is a wasteful number, since it uses less digits than its factorization.

5286670200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

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

The square root of 5286670200 is about 72709.4918150306. The cubic root of 5286670200 is about 1742.0504958510.

The spelling of 5286670200 in words is "five billion, two hundred eighty-six million, six hundred seventy thousand, two hundred".