12860527680 has 896 divisors, whose sum is σ = 60956098560. Its totient is φ = 2465095680.

The previous prime is 12860527651. The next prime is 12860527733. The reversal of 12860527680 is 8672506821.

12860527680 is a `hidden beast` number, since 1 + 2 + 8 + 60 + 527 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8647897 + ... + 8649383.

It is an arithmetic number, because the mean of its divisors is an integer number (68031360).

Almost surely, 2^12860527680 is an apocalyptic number.

12860527680 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 12860527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30478049280).

12860527680 is an abundant number, since it is smaller than the sum of its proper divisors (48095570880).

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

12860527680 is a wasteful number, since it uses less digits than its factorization.

12860527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12860527680 in words is "twelve billion, eight hundred sixty million, five hundred twenty-seven thousand, six hundred eighty".