10380960768 has 88 divisors (see below), whose sum is σ = 27809723200. Its totient is φ = 3442728960.

The previous prime is 10380960761. The next prime is 10380960773. The reversal of 10380960768 is 86706908301.

It is a Cunningham number, because it is equal to 101887²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10380960761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602838 + ... + 619818.

Almost surely, 2^10380960768 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 10380960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904861600).

10380960768 is an abundant number, since it is smaller than the sum of its proper divisors (17428762432).

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

10380960768 is a wasteful number, since it uses less digits than its factorization.

10380960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203 (or 17185 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10380960768 in words is "ten billion, three hundred eighty million, nine hundred sixty thousand, seven hundred sixty-eight".