1127299776768 has 576 divisors, whose sum is σ = 3765742632960. Its totient is φ = 329553100800.

The previous prime is 1127299776761. The next prime is 1127299776769. The reversal of 1127299776768 is 8676779927211.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1127299776696 and 1127299776705.

It is not an unprimeable number, because it can be changed into a prime (1127299776761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091286780 + ... + 1091287812.

Almost surely, 2^{1127299776768} is an apocalyptic number.

1127299776768 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 1127299776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882871316480).

1127299776768 is an abundant number, since it is smaller than the sum of its proper divisors (2638442856192).

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

1127299776768 is a wasteful number, since it uses less digits than its factorization.

1127299776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1543 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 72.

The spelling of 1127299776768 in words is "one trillion, one hundred twenty-seven billion, two hundred ninety-nine million, seven hundred seventy-six thousand, seven hundred sixty-eight".