12965289480 has 384 divisors, whose sum is σ = 50663733120. Its totient is φ = 2833367040.

The previous prime is 12965289431. The next prime is 12965289487. The reversal of 12965289480 is 8498256921.

It is a happy number.

12965289480 is a `hidden beast` number, since 1 + 29 + 6 + 528 + 94 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12965289487) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2210712 + ... + 2216568.

It is an arithmetic number, because the mean of its divisors is an integer number (131936805).

Almost surely, 2^12965289480 is an apocalyptic number.

12965289480 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 12965289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331866560).

12965289480 is an abundant number, since it is smaller than the sum of its proper divisors (37698443640).

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

12965289480 is a wasteful number, since it uses less digits than its factorization.

12965289480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12965289480 in words is "twelve billion, nine hundred sixty-five million, two hundred eighty-nine thousand, four hundred eighty".