1268779438080 has 2808 divisors, whose sum is σ = 5967174429216. Its totient is φ = 257511260160.

The previous prime is 1268779437931. The next prime is 1268779438111. The reversal of 1268779438080 is 808349778621.

1268779438080 is a `hidden beast` number, since 1 + 26 + 8 + 77 + 94 + 380 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1268779437999 and 1268779438017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 29506498539 + ... + 29506498581.

Almost surely, 2^{1268779438080} is an apocalyptic number.

1268779438080 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 1268779438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983587214608).

1268779438080 is an abundant number, since it is smaller than the sum of its proper divisors (4698394991136).

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

1268779438080 is an equidigital number, since it uses as much as digits as its factorization.

1268779438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1268779438080 in words is "one trillion, two hundred sixty-eight billion, seven hundred seventy-nine million, four hundred thirty-eight thousand, eighty".