12555465523200 has 1134 divisors, whose sum is σ = 47343716501354. Its totient is φ = 3302259425280.

The previous prime is 12555465523163. The next prime is 12555465523207. The reversal of 12555465523200 is 232556455521.

12555465523200 is a `hidden beast` number, since 1 + 2 + 5 + 55 + 46 + 552 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 990677827584 + 11564787695616 = 995328^2 + 3400704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12555465523207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 171992678364 + ... + 171992678436.

Almost surely, 2^{12555465523200} is an apocalyptic number.

12555465523200 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 12555465523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671858250677).

12555465523200 is an abundant number, since it is smaller than the sum of its proper divisors (34788250978154).

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

12555465523200 is an frugal number, since it uses more digits than its factorization.

12555465523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 12555465523200 in words is "twelve trillion, five hundred fifty-five billion, four hundred sixty-five million, five hundred twenty-three thousand, two hundred".