12628058252544 has 1728 divisors, whose sum is σ = 46978003537920. Its totient is φ = 3190995025920.

The previous prime is 12628058252543. The next prime is 12628058252573. The reversal of 12628058252544 is 44525285082621.

12628058252544 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 0 + 582 + 5 + 2 + 54 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628058252543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130186167504 + ... + 130186167600.

It is an arithmetic number, because the mean of its divisors is an integer number (27186344640).

Almost surely, 2^{12628058252544} is an apocalyptic number.

12628058252544 is a gapful number since it is divisible by the number (14) 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 12628058252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23489001768960).

12628058252544 is an abundant number, since it is smaller than the sum of its proper divisors (34349945285376).

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

12628058252544 is an equidigital number, since it uses as much as digits as its factorization.

12628058252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 12628058252544 in words is "twelve trillion, six hundred twenty-eight billion, fifty-eight million, two hundred fifty-two thousand, five hundred forty-four".