12745388568528 has 320 divisors, whose sum is σ = 46160745523200. Its totient is φ = 3270604400640.

The previous prime is 12745388568487. The next prime is 12745388568533. The reversal of 12745388568528 is 82586588354721.

12745388568528 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 3 + 8 + 8 + 568 + 52 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452728 + ... + 5069096.

It is an arithmetic number, because the mean of its divisors is an integer number (144252329760).

Almost surely, 2^{12745388568528} is an apocalyptic number.

12745388568528 is a gapful number since it is divisible by the number (18) 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 12745388568528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080372761600).

12745388568528 is an abundant number, since it is smaller than the sum of its proper divisors (33415356954672).

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

12745388568528 is a wasteful number, since it uses less digits than its factorization.

12745388568528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616487 (or 4616475 counting only the distinct ones).

The product of its digits is 1032192000, while the sum is 72.

The spelling of 12745388568528 in words is "twelve trillion, seven hundred forty-five billion, three hundred eighty-eight million, five hundred sixty-eight thousand, five hundred twenty-eight".