6865212200 has 384 divisors, whose sum is σ = 20788669440. Its totient is φ = 2046720000.

The previous prime is 6865212197. The next prime is 6865212217. The reversal of 6865212200 is 22125686.

It is a super-2 number, since 2×6865212200² = 94262277102057680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52406135 + ... + 52406265.

It is an arithmetic number, because the mean of its divisors is an integer number (54137160).

Almost surely, 2^6865212200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6865212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394334720).

6865212200 is an abundant number, since it is smaller than the sum of its proper divisors (13923457240).

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

6865212200 is a wasteful number, since it uses less digits than its factorization.

6865212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 6865212200 is about 82856.5760818054. The cubic root of 6865212200 is about 1900.5734372557.

Adding to 6865212200 its reverse (22125686), we get a palindrome (6887337886).

The spelling of 6865212200 in words is "six billion, eight hundred sixty-five million, two hundred twelve thousand, two hundred".