12528365884416 has 264 divisors, whose sum is σ = 39049909591680. Its totient is φ = 3856806395904.

The previous prime is 12528365884403. The next prime is 12528365884423. The reversal of 12528365884416 is 61448856382521.

It is a happy number.

12528365884416 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 8 + 3 + 6 + 588 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×12528365884416² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5128021 + ... + 7166123.

Almost surely, 2^{12528365884416} is an apocalyptic number.

12528365884416 is a gapful number since it is divisible by the number (16) 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 12528365884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19524954795840).

12528365884416 is an abundant number, since it is smaller than the sum of its proper divisors (26521543707264).

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

12528365884416 is a wasteful number, since it uses less digits than its factorization.

12528365884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038181 (or 2038160 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 12528365884416 in words is "twelve trillion, five hundred twenty-eight billion, three hundred sixty-five million, eight hundred eighty-four thousand, four hundred sixteen".