12545280000 has 900 divisors, whose sum is σ = 51468552135. Its totient is φ = 3041280000.

The previous prime is 12545279987. The next prime is 12545280029. The reversal of 12545280000 is 8254521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2900468736 + 9644811264 = 53856^2 + 98208^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79200.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1140479995 + ... + 1140480005.

Almost surely, 2^12545280000 is an apocalyptic number.

12545280000 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 12545280000

12545280000 is an abundant number, since it is smaller than the sum of its proper divisors (38923272135).

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

12545280000 is an frugal number, since it uses more digits than its factorization.

12545280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Multiplying 12545280000 by its product of nonzero digits (3200), we get a square (40144896000000 = 6336000²).

12545280000 divided by its product of nonzero digits (3200) gives a square (3920400 = 1980²).

The spelling of 12545280000 in words is "twelve billion, five hundred forty-five million, two hundred eighty thousand".