12643855872400 has 45 divisors (see below), whose sum is σ = 30377034591553. Its totient is φ = 5057513902400.

The previous prime is 12643855872367. The next prime is 12643855872419. The reversal of 12643855872400 is 427855834621.

It is a happy number.

The square root of 12643855872400 is 3555820.

It is a perfect power (a square), and thus also a powerful number.

12643855872400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4551788114064 + 8092067758336 = 2133492^2 + 2844656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71027505 + ... + 71205295.

Almost surely, 2^{12643855872400} is an apocalyptic number.

12643855872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12643855872400 is the 3555820-th square number.

It is an amenable number.

12643855872400 is an abundant number, since it is smaller than the sum of its proper divisors (17733178719153).

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

12643855872400 is an frugal number, since it uses more digits than its factorization.

12643855872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355600 (or 177798 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 12643855872400 in words is "twelve trillion, six hundred forty-three billion, eight hundred fifty-five million, eight hundred seventy-two thousand, four hundred".