12760861092 has 192 divisors, whose sum is σ = 36700231680. Its totient is φ = 3369959424.

The previous prime is 12760861051. The next prime is 12760861103. The reversal of 12760861092 is 29016806721.

12760861092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 21738823 + ... + 21739409.

It is an arithmetic number, because the mean of its divisors is an integer number (191147040).

Almost surely, 2^12760861092 is an apocalyptic number.

12760861092 is a gapful number since it is divisible by the number (12) 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 12760861092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350115840).

12760861092 is an abundant number, since it is smaller than the sum of its proper divisors (23939370588).

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

12760861092 is a wasteful number, since it uses less digits than its factorization.

12760861092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 12760861092 in words is "twelve billion, seven hundred sixty million, eight hundred sixty-one thousand, ninety-two".