12571708200480 has 2880 divisors, whose sum is σ = 54726486645600. Its totient is φ = 2713794969600.

The previous prime is 12571708200437. The next prime is 12571708200481. The reversal of 12571708200480 is 8400280717521.

12571708200480 is a `hidden beast` number, since 1 + 2 + 571 + 70 + 8 + 2 + 0 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10033715100816 + 2537993099664 = 3167604^2 + 1593108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12571708200481) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 141255148276 + ... + 141255148364.

Almost surely, 2^{12571708200480} is an apocalyptic number.

12571708200480 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 12571708200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363243322800).

12571708200480 is an abundant number, since it is smaller than the sum of its proper divisors (42154778445120).

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

12571708200480 is a wasteful number, since it uses less digits than its factorization.

12571708200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12571708200480 in words is "twelve trillion, five hundred seventy-one billion, seven hundred eight million, two hundred thousand, four hundred eighty".