12965705760 has 576 divisors, whose sum is σ = 49989477888. Its totient is φ = 2813239296.

The previous prime is 12965705737. The next prime is 12965705783. The reversal of 12965705760 is 6750756921.

It is an interprime number because it is at equal distance from previous prime (12965705737) and next prime (12965705783).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40901122 + ... + 40901438.

It is an arithmetic number, because the mean of its divisors is an integer number (86787288).

Almost surely, 2^12965705760 is an apocalyptic number.

12965705760 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 12965705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994738944).

12965705760 is an abundant number, since it is smaller than the sum of its proper divisors (37023772128).

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

12965705760 is a wasteful number, since it uses less digits than its factorization.

12965705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 12965705760 in words is "twelve billion, nine hundred sixty-five million, seven hundred five thousand, seven hundred sixty".