12802794480 has 720 divisors, whose sum is σ = 52515013824. Its totient is φ = 2784337920.

The previous prime is 12802794457. The next prime is 12802794493. The reversal of 12802794480 is 8449720821.

12802794480 is a `hidden beast` number, since 1 + 2 + 80 + 2 + 7 + 94 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 76663357 + ... + 76663523.

Almost surely, 2^12802794480 is an apocalyptic number.

12802794480 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 12802794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257506912).

12802794480 is an abundant number, since it is smaller than the sum of its proper divisors (39712219344).

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

12802794480 is a wasteful number, since it uses less digits than its factorization.

12802794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12802794480 in words is "twelve billion, eight hundred two million, seven hundred ninety-four thousand, four hundred eighty".