12528576000 has 240 divisors, whose sum is σ = 45127656288. Its totient is φ = 3340800000.

The previous prime is 12528575999. The next prime is 12528576029. The reversal of 12528576000 is 67582521.

It is a happy number.

12528576000 is a `hidden beast` number, since 1 + 25 + 28 + 5 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565125 + ... + 586875.

Almost surely, 2^12528576000 is an apocalyptic number.

12528576000 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 12528576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563828144).

12528576000 is an abundant number, since it is smaller than the sum of its proper divisors (32599080288).

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

12528576000 is an equidigital number, since it uses as much as digits as its factorization.

12528576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21790 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12528576000 in words is "twelve billion, five hundred twenty-eight million, five hundred seventy-six thousand".