12763109760 has 256 divisors, whose sum is σ = 42264573120. Its totient is φ = 3273523200.

The previous prime is 12763109759. The next prime is 12763109783. The reversal of 12763109760 is 6790136721.

12763109760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5745450 + ... + 5747670.

Almost surely, 2^12763109760 is an apocalyptic number.

12763109760 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 12763109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132286560).

12763109760 is an abundant number, since it is smaller than the sum of its proper divisors (29501463360).

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

12763109760 is a wasteful number, since it uses less digits than its factorization.

12763109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 12763109760 in words is "twelve billion, seven hundred sixty-three million, one hundred nine thousand, seven hundred sixty".