12606484800 has 1344 divisors, whose sum is σ = 56440832000. Its totient is φ = 2438553600.

The previous prime is 12606484783. The next prime is 12606484843. The reversal of 12606484800 is 848460621.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406660785 + ... + 406660815.

Almost surely, 2^12606484800 is an apocalyptic number.

12606484800 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 12606484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220416000).

12606484800 is an abundant number, since it is smaller than the sum of its proper divisors (43834347200).

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

12606484800 is a wasteful number, since it uses less digits than its factorization.

12606484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12606484800 in words is "twelve billion, six hundred six million, four hundred eighty-four thousand, eight hundred".