12528867415680 has 1536 divisors, whose sum is σ = 54683917516800. Its totient is φ = 2567725056000.

The previous prime is 12528867415639. The next prime is 12528867415711. The reversal of 12528867415680 is 8651476882521.

12528867415680 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 8 + 8 + 67 + 4 + 1 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11097313356 + ... + 11097314484.

It is an arithmetic number, because the mean of its divisors is an integer number (35601508800).

Almost surely, 2^{12528867415680} is an apocalyptic number.

12528867415680 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 12528867415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27341958758400).

12528867415680 is an abundant number, since it is smaller than the sum of its proper divisors (42155050101120).

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

12528867415680 is a wasteful number, since it uses less digits than its factorization.

12528867415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 12528867415680 in words is "twelve trillion, five hundred twenty-eight billion, eight hundred sixty-seven million, four hundred fifteen thousand, six hundred eighty".