10680803200 has 96 divisors (see below), whose sum is σ = 26548088760. Its totient is φ = 4245903360.

The previous prime is 10680803173. The next prime is 10680803201. The reversal of 10680803200 is 230808601.

It is a super-2 number, since 2×10680803200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680803201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511362 + ... + 531838.

Almost surely, 2^10680803200 is an apocalyptic number.

10680803200 is a gapful number since it is divisible by the number (10) 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 10680803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274044380).

10680803200 is an abundant number, since it is smaller than the sum of its proper divisors (15867285560).

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

10680803200 is a wasteful number, since it uses less digits than its factorization.

10680803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20664 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10680803200 in words is "ten billion, six hundred eighty million, eight hundred three thousand, two hundred".