12761110560 has 384 divisors, whose sum is σ = 45637530624. Its totient is φ = 2969948160.

The previous prime is 12761110547. The next prime is 12761110561. The reversal of 12761110560 is 6501116721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12761110561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16214487 + ... + 16215273.

It is an arithmetic number, because the mean of its divisors is an integer number (118847736).

Almost surely, 2^12761110560 is an apocalyptic number.

12761110560 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 12761110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22818765312).

12761110560 is an abundant number, since it is smaller than the sum of its proper divisors (32876420064).

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

12761110560 is a wasteful number, since it uses less digits than its factorization.

12761110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

It can be divided in two parts, 12761 and 110560, that added together give a palindrome (123321).

The spelling of 12761110560 in words is "twelve billion, seven hundred sixty-one million, one hundred ten thousand, five hundred sixty".