12709065600 has 864 divisors, whose sum is σ = 57076503120. Its totient is φ = 2635776000.

The previous prime is 12709065559. The next prime is 12709065613. The reversal of 12709065600 is 656090721.

12709065600 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 90 + 6 + 560 + 0 = 666.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24393340 + ... + 24393860.

Almost surely, 2^12709065600 is an apocalyptic number.

12709065600 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 12709065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28538251560).

12709065600 is an abundant number, since it is smaller than the sum of its proper divisors (44367437520).

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

12709065600 is a wasteful number, since it uses less digits than its factorization.

12709065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12709065600 in words is "twelve billion, seven hundred nine million, sixty-five thousand, six hundred".