12556605600 has 1296 divisors, whose sum is σ = 58350015360. Its totient is φ = 2483712000.

The previous prime is 12556605599. The next prime is 12556605613. The reversal of 12556605600 is 650665521.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 176853565 + ... + 176853635.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 2^12556605600 is an apocalyptic number.

12556605600 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 12556605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175007680).

12556605600 is an abundant number, since it is smaller than the sum of its proper divisors (45793409760).

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

12556605600 is a wasteful number, since it uses less digits than its factorization.

12556605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 12556605600 in words is "twelve billion, five hundred fifty-six million, six hundred five thousand, six hundred".