12687620444800 has 384 divisors, whose sum is σ = 37986639949440. Its totient is φ = 4087710351360.

The previous prime is 12687620444789. The next prime is 12687620444813. The reversal of 12687620444800 is 844402678621.

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, 244828492 + ... + 244880308.

It is an arithmetic number, because the mean of its divisors is an integer number (98923541535).

Almost surely, 2^{12687620444800} is an apocalyptic number.

12687620444800 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 12687620444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993319974720).

12687620444800 is an abundant number, since it is smaller than the sum of its proper divisors (25299019504640).

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

12687620444800 is a wasteful number, since it uses less digits than its factorization.

12687620444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52508 (or 52491 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 12687620444800 in words is "twelve trillion, six hundred eighty-seven billion, six hundred twenty million, four hundred forty-four thousand, eight hundred".