10787736960 has 768 divisors, whose sum is σ = 50042603520. Its totient is φ = 2068070400.

The previous prime is 10787736959. The next prime is 10787736961. The reversal of 10787736960 is 6963778701.

10787736960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10787736959) and next prime (10787736961).

It is a junction number, because it is equal to n+sod(n) for n = 10787736897 and 10787736906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10787736961) 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 95 ways as a sum of consecutive naturals, for example, 5764825 + ... + 5766695.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^10787736960 is an apocalyptic number.

10787736960 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 10787736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021301760).

10787736960 is an abundant number, since it is smaller than the sum of its proper divisors (39254866560).

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

10787736960 is a wasteful number, since it uses less digits than its factorization.

10787736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

It can be divided in two parts, 10787 and 736960, that added together give a palindrome (747747).

The spelling of 10787736960 in words is "ten billion, seven hundred eighty-seven million, seven hundred thirty-six thousand, nine hundred sixty".