12576067560 has 512 divisors, whose sum is σ = 51788160000. Its totient is φ = 2704084992.

The previous prime is 12576067549. The next prime is 12576067561. The reversal of 12576067560 is 6576067521.

12576067560 is a `hidden beast` number, since 1 + 2 + 576 + 0 + 6 + 75 + 6 + 0 = 666.

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 (12576067561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6296482 + ... + 6298478.

It is an arithmetic number, because the mean of its divisors is an integer number (101148750).

Almost surely, 2^12576067560 is an apocalyptic number.

12576067560 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 12576067560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25894080000).

12576067560 is an abundant number, since it is smaller than the sum of its proper divisors (39212092440).

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

12576067560 is a wasteful number, since it uses less digits than its factorization.

12576067560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 12576067560 in words is "twelve billion, five hundred seventy-six million, sixty-seven thousand, five hundred sixty".