12555993600 has 480 divisors, whose sum is σ = 47128055040. Its totient is φ = 3272785920.

The previous prime is 12555993587. The next prime is 12555993677. The reversal of 12555993600 is 639955521.

12555993600 is a `hidden beast` number, since 1 + 2 + 5 + 559 + 93 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 16242814 + ... + 16243586.

It is an arithmetic number, because the mean of its divisors is an integer number (98183448).

Almost surely, 2^12555993600 is an apocalyptic number.

12555993600 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 12555993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23564027520).

12555993600 is an abundant number, since it is smaller than the sum of its proper divisors (34572061440).

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

12555993600 is an equidigital number, since it uses as much as digits as its factorization.

12555993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 12555993600 in words is "twelve billion, five hundred fifty-five million, nine hundred ninety-three thousand, six hundred".