12665972560 has 80 divisors (see below), whose sum is σ = 31140006912. Its totient is φ = 4783334400.

The previous prime is 12665972551. The next prime is 12665972567. The reversal of 12665972560 is 6527956621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665972567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39397 + ... + 163963.

Almost surely, 2^12665972560 is an apocalyptic number.

12665972560 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 12665972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570003456).

12665972560 is an abundant number, since it is smaller than the sum of its proper divisors (18474034352).

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

12665972560 is a wasteful number, since it uses less digits than its factorization.

12665972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124652 (or 124646 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 12665972560 in words is "twelve billion, six hundred sixty-five million, nine hundred seventy-two thousand, five hundred sixty".