12687010578 has 96 divisors (see below), whose sum is σ = 30354480000. Its totient is φ = 3797798400.

The previous prime is 12687010577. The next prime is 12687010591. The reversal of 12687010578 is 87501078621.

It is a happy number.

12687010578 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 70 + 1 + 0 + 578 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12687010573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869818 + ... + 5871978.

It is an arithmetic number, because the mean of its divisors is an integer number (316192500).

Almost surely, 2^12687010578 is an apocalyptic number.

12687010578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12687010578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177240000).

12687010578 is an abundant number, since it is smaller than the sum of its proper divisors (17667469422).

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

12687010578 is a wasteful number, since it uses less digits than its factorization.

12687010578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 12687010578 in words is "twelve billion, six hundred eighty-seven million, ten thousand, five hundred seventy-eight".