10680241152 has 176 divisors, whose sum is σ = 33150788352. Its totient is φ = 2993602560.

The previous prime is 10680241151. The next prime is 10680241157. The reversal of 10680241152 is 25114208601.

It is a super-2 number, since 2×10680241152² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680241151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135027 + ... + 1144397.

It is an arithmetic number, because the mean of its divisors is an integer number (188356752).

Almost surely, 2^10680241152 is an apocalyptic number.

10680241152 is a gapful number since it is divisible by the number (12) 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 10680241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575394176).

10680241152 is an abundant number, since it is smaller than the sum of its proper divisors (22470547200).

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

10680241152 is an equidigital number, since it uses as much as digits as its factorization.

10680241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 10680241152 its reverse (25114208601), we get a palindrome (35794449753).

The spelling of 10680241152 in words is "ten billion, six hundred eighty million, two hundred forty-one thousand, one hundred fifty-two".