12768504429480 has 256 divisors, whose sum is σ = 40526036812800. Its totient is φ = 3209410252800.

The previous prime is 12768504429479. The next prime is 12768504429493. The reversal of 12768504429480 is 8492440586721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394061280 + ... + 394093680.

It is an arithmetic number, because the mean of its divisors is an integer number (158304831300).

Almost surely, 2^{12768504429480} is an apocalyptic number.

12768504429480 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 12768504429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263018406400).

12768504429480 is an abundant number, since it is smaller than the sum of its proper divisors (27757532383320).

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

12768504429480 is a wasteful number, since it uses less digits than its factorization.

12768504429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33304 (or 33300 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 12768504429480 in words is "twelve trillion, seven hundred sixty-eight billion, five hundred four million, four hundred twenty-nine thousand, four hundred eighty".