12895971660 has 768 divisors, whose sum is σ = 50478059520. Its totient is φ = 2688491520.

The previous prime is 12895971653. The next prime is 12895971689. The reversal of 12895971660 is 6617959821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12895971597 and 12895971606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94131112 + ... + 94131248.

It is an arithmetic number, because the mean of its divisors is an integer number (65726640).

Almost surely, 2^12895971660 is an apocalyptic number.

12895971660 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 12895971660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25239029760).

12895971660 is an abundant number, since it is smaller than the sum of its proper divisors (37582087860).

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

12895971660 is a wasteful number, since it uses less digits than its factorization.

12895971660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12895971660 in words is "twelve billion, eight hundred ninety-five million, nine hundred seventy-one thousand, six hundred sixty".