12928481280 has 960 divisors, whose sum is σ = 54940485600. Its totient is φ = 2866544640.

The previous prime is 12928481261. The next prime is 12928481287. The reversal of 12928481280 is 8218482921.

12928481280 is a `hidden beast` number, since 1 + 2 + 92 + 8 + 481 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928481287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118609866 + ... + 118609974.

Almost surely, 2^12928481280 is an apocalyptic number.

12928481280 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 12928481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27470242800).

12928481280 is an abundant number, since it is smaller than the sum of its proper divisors (42012004320).

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

12928481280 is a wasteful number, since it uses less digits than its factorization.

12928481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12928481280 in words is "twelve billion, nine hundred twenty-eight million, four hundred eighty-one thousand, two hundred eighty".