12969041760 has 192 divisors, whose sum is σ = 46032053760. Its totient is φ = 3409620480.

The previous prime is 12969041741. The next prime is 12969041779. The reversal of 12969041760 is 6714096921.

12969041760 is a `hidden beast` number, since 1 + 2 + 96 + 90 + 417 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12969041741) and next prime (12969041779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285579 + ... + 327861.

It is an arithmetic number, because the mean of its divisors is an integer number (239750280).

Almost surely, 2^12969041760 is an apocalyptic number.

12969041760 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 12969041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016026880).

12969041760 is an abundant number, since it is smaller than the sum of its proper divisors (33063012000).

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

12969041760 is a wasteful number, since it uses less digits than its factorization.

12969041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42378 (or 42364 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12969041760 in words is "twelve billion, nine hundred sixty-nine million, forty-one thousand, seven hundred sixty".