12556504888200 has 2304 divisors, whose sum is σ = 57644685504000. Its totient is φ = 2490088366080.

The previous prime is 12556504888177. The next prime is 12556504888237. The reversal of 12556504888200 is 288840565521.

12556504888200 is a `hidden beast` number, since 1 + 2 + 5 + 56 + 504 + 8 + 8 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16899737029 + ... + 16899737771.

It is an arithmetic number, because the mean of its divisors is an integer number (25019394750).

Almost surely, 2^{12556504888200} is an apocalyptic number.

12556504888200 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 12556504888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28822342752000).

12556504888200 is an abundant number, since it is smaller than the sum of its proper divisors (45088180615800).

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

12556504888200 is a wasteful number, since it uses less digits than its factorization.

12556504888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 12556504888200 in words is "twelve trillion, five hundred fifty-six billion, five hundred four million, eight hundred eighty-eight thousand, two hundred".