10860776960 has 320 divisors, whose sum is σ = 30546616320. Its totient is φ = 3661332480.

The previous prime is 10860776929. The next prime is 10860776963. The reversal of 10860776960 is 6967706801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 10860776899 and 10860776908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10860776963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28356929 + ... + 28357311.

It is an arithmetic number, because the mean of its divisors is an integer number (95458176).

Almost surely, 2^10860776960 is an apocalyptic number.

10860776960 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 10860776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

10860776960 is an abundant number, since it is smaller than the sum of its proper divisors (19685839360).

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

10860776960 is a wasteful number, since it uses less digits than its factorization.

10860776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 10860776960 in words is "ten billion, eight hundred sixty million, seven hundred seventy-six thousand, nine hundred sixty".