12685870080 has 660 divisors, whose sum is σ = 49496779332. Its totient is φ = 3105423360.

The previous prime is 12685870079. The next prime is 12685870091. The reversal of 12685870080 is 8007858621.

12685870080 is a `hidden beast` number, since 1 + 2 + 68 + 587 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6549341184 + 6136528896 = 80928^2 + 78336^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70087590 + ... + 70087770.

Almost surely, 2^12685870080 is an apocalyptic number.

12685870080 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 12685870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748389666).

12685870080 is an abundant number, since it is smaller than the sum of its proper divisors (36810909252).

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

12685870080 is a wasteful number, since it uses less digits than its factorization.

12685870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12685870080 in words is "twelve billion, six hundred eighty-five million, eight hundred seventy thousand, eighty".