10380707568 has 240 divisors, whose sum is σ = 37200523776. Its totient is φ = 2623311360.

The previous prime is 10380707563. The next prime is 10380707581. The reversal of 10380707568 is 86570708301.

10380707568 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 7 + 0 + 7 + 568 = 666.

10380707568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10380707568² (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 (10380707563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397605 + ... + 422907.

Almost surely, 2^10380707568 is an apocalyptic number.

10380707568 is a gapful number since it is divisible by the number (18) 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 10380707568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600261888).

10380707568 is an abundant number, since it is smaller than the sum of its proper divisors (26819816208).

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

10380707568 is a wasteful number, since it uses less digits than its factorization.

10380707568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25372 (or 25363 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10380707568 in words is "ten billion, three hundred eighty million, seven hundred seven thousand, five hundred sixty-eight".