12910433760 has 864 divisors, whose sum is σ = 55661074560. Its totient is φ = 2706407424.

The previous prime is 12910433737. The next prime is 12910433849. The reversal of 12910433760 is 6733401921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 56377326 + ... + 56377554.

It is an arithmetic number, because the mean of its divisors is an integer number (64422540).

Almost surely, 2^12910433760 is an apocalyptic number.

12910433760 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 12910433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830537280).

12910433760 is an abundant number, since it is smaller than the sum of its proper divisors (42750640800).

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

12910433760 is a wasteful number, since it uses less digits than its factorization.

12910433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12910433760 in words is "twelve billion, nine hundred ten million, four hundred thirty-three thousand, seven hundred sixty".