680221152200 has 108 divisors (see below), whose sum is σ = 1638744556995. Its totient is φ = 262575465600.

The previous prime is 680221152173. The next prime is 680221152257. The reversal of 680221152200 is 2251122086.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 260910510436 + 419310641764 = 510794^2 + 647542^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=583190.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338249195 + ... + 338251205.

Almost surely, 2^680221152200 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 680221152200

680221152200 is an abundant number, since it is smaller than the sum of its proper divisors (958523404795).

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

680221152200 is an equidigital number, since it uses as much as digits as its factorization.

680221152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 680221152200 its reverse (2251122086), we get a palindrome (682472274286).

The spelling of 680221152200 in words is "six hundred eighty billion, two hundred twenty-one million, one hundred fifty-two thousand, two hundred".