12769267848480 has 3456 divisors, whose sum is σ = 56852926341120. Its totient is φ = 2678427648000.

The previous prime is 12769267848479. The next prime is 12769267848503. The reversal of 12769267848480 is 8484876296721.

12769267848480 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 9 + 2 + 67 + 8 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12769267848399 and 12769267848408.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 91865236251 + ... + 91865236389.

It is an arithmetic number, because the mean of its divisors is an integer number (16450499520).

Almost surely, 2^{12769267848480} is an apocalyptic number.

12769267848480 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 12769267848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28426463170560).

12769267848480 is an abundant number, since it is smaller than the sum of its proper divisors (44083658492640).

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

12769267848480 is a wasteful number, since it uses less digits than its factorization.

12769267848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 12769267848480 in words is "twelve trillion, seven hundred sixty-nine billion, two hundred sixty-seven million, eight hundred forty-eight thousand, four hundred eighty".