12895540955560 has 512 divisors, whose sum is σ = 33666671001600. Its totient is φ = 4417771438080.

The previous prime is 12895540955551. The next prime is 12895540955579. The reversal of 12895540955560 is 6555904559821.

12895540955560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12895540955560³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12895540955492 and 12895540955501.

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, 4204609147 + ... + 4204612213.

It is an arithmetic number, because the mean of its divisors is an integer number (65755216800).

Almost surely, 2^{12895540955560} is an apocalyptic number.

12895540955560 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 12895540955560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833335500800).

12895540955560 is an abundant number, since it is smaller than the sum of its proper divisors (20771130046040).

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

12895540955560 is a wasteful number, since it uses less digits than its factorization.

12895540955560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 64.

The spelling of 12895540955560 in words is "twelve trillion, eight hundred ninety-five billion, five hundred forty million, nine hundred fifty-five thousand, five hundred sixty".