12653453494800 has 180 divisors, whose sum is σ = 44133899418180. Its totient is φ = 3357125882880.

The previous prime is 12653453494777. The next prime is 12653453494807. The reversal of 12653453494800 is 849435435621.

It is a happy number.

12653453494800 is a `hidden beast` number, since 1 + 2 + 65 + 3 + 4 + 534 + 9 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1782769721616 + 10870683773184 = 1335204^2 + 3297072^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×12653453494800³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12653453494807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8211735 + ... + 9630134.

It is an arithmetic number, because the mean of its divisors is an integer number (245188330101).

Almost surely, 2^{12653453494800} is an apocalyptic number.

12653453494800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12653453494800 is an abundant number, since it is smaller than the sum of its proper divisors (31480445923380).

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

12653453494800 is a wasteful number, since it uses less digits than its factorization.

12653453494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842090 (or 17842076 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12653453494800 in words is "twelve trillion, six hundred fifty-three billion, four hundred fifty-three million, four hundred ninety-four thousand, eight hundred".