12653810673600 has 336 divisors, whose sum is σ = 41681878840800. Its totient is φ = 3360817152000.

The previous prime is 12653810673563. The next prime is 12653810673611. The reversal of 12653810673600 is 637601835621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12653810673600.

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, 1278028650 + ... + 1278038550.

Almost surely, 2^{12653810673600} is an apocalyptic number.

12653810673600 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 12653810673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840939420400).

12653810673600 is an abundant number, since it is smaller than the sum of its proper divisors (29028068167200).

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

12653810673600 is a wasteful number, since it uses less digits than its factorization.

12653810673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 12653810673600 in words is "twelve trillion, six hundred fifty-three billion, eight hundred ten million, six hundred seventy-three thousand, six hundred".