12689913600 has 1080 divisors, whose sum is σ = 57962852640. Its totient is φ = 2667479040.

The previous prime is 12689913571. The next prime is 12689913637. The reversal of 12689913600 is 631998621.

It is a happy number.

12689913600 is a `hidden beast` number, since 1 + 26 + 8 + 9 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×12689913600² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 47174266 + ... + 47174534.

It is an arithmetic number, because the mean of its divisors is an integer number (53669308).

Almost surely, 2^12689913600 is an apocalyptic number.

12689913600 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 12689913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981426320).

12689913600 is an abundant number, since it is smaller than the sum of its proper divisors (45272939040).

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

12689913600 is a wasteful number, since it uses less digits than its factorization.

12689913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12689913600 in words is "twelve billion, six hundred eighty-nine million, nine hundred thirteen thousand, six hundred".