12580051680 has 576 divisors, whose sum is σ = 53892034560. Its totient is φ = 2705301504.

The previous prime is 12580051657. The next prime is 12580051681. The reversal of 12580051680 is 8615008521.

12580051680 is a `hidden beast` number, since 12 + 58 + 0 + 0 + 516 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580051681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4625361 + ... + 4628079.

It is an arithmetic number, because the mean of its divisors is an integer number (93562560).

Almost surely, 2^12580051680 is an apocalyptic number.

12580051680 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 12580051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26946017280).

12580051680 is an abundant number, since it is smaller than the sum of its proper divisors (41311982880).

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

12580051680 is a wasteful number, since it uses less digits than its factorization.

12580051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 12580051680 in words is "twelve billion, five hundred eighty million, fifty-one thousand, six hundred eighty".