12581602145280 has 1584 divisors, whose sum is σ = 55260929252160. Its totient is φ = 2706209243136.

The previous prime is 12581602145257. The next prime is 12581602145291. The reversal of 12581602145280 is 8254120618521.

12581602145280 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 1 + 602 + 14 + 5 + 28 + 0 = 666.

It is a super-2 number, since 2×12581602145280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1957613427 + ... + 1957619853.

Almost surely, 2^{12581602145280} is an apocalyptic number.

12581602145280 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 12581602145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630464626080).

12581602145280 is an abundant number, since it is smaller than the sum of its proper divisors (42679327106880).

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

12581602145280 is a wasteful number, since it uses less digits than its factorization.

12581602145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12581602145280 in words is "twelve trillion, five hundred eighty-one billion, six hundred two million, one hundred forty-five thousand, two hundred eighty".