1276853829768 has 320 divisors, whose sum is σ = 3953085333120. Its totient is φ = 381832704000.

The previous prime is 1276853829751. The next prime is 1276853829781. The reversal of 1276853829768 is 8679283586721.

1276853829768 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 8 + 538 + 29 + 7 + 68 = 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 = 1276853829696 and 1276853829705.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257895693 + ... + 257900643.

It is an arithmetic number, because the mean of its divisors is an integer number (12353391666).

Almost surely, 2^{1276853829768} is an apocalyptic number.

1276853829768 is a gapful number since it is divisible by the number (18) 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 1276853829768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976542666560).

1276853829768 is an abundant number, since it is smaller than the sum of its proper divisors (2676231503352).

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

1276853829768 is a wasteful number, since it uses less digits than its factorization.

1276853829768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5437 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 1276853829768 in words is "one trillion, two hundred seventy-six billion, eight hundred fifty-three million, eight hundred twenty-nine thousand, seven hundred sixty-eight".