1127683511136 has 960 divisors, whose sum is σ = 4435810283520. Its totient is φ = 272635269120.

The previous prime is 1127683511113. The next prime is 1127683511147. The reversal of 1127683511136 is 6311153867211.

1127683511136 is a `hidden beast` number, since 1 + 1 + 27 + 6 + 83 + 511 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1127683511091 and 1127683511100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138924550 + ... + 138932666.

It is an arithmetic number, because the mean of its divisors is an integer number (4620635712).

Almost surely, 2^{1127683511136} is an apocalyptic number.

1127683511136 is a gapful number since it is divisible by the number (16) 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 1127683511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217905141760).

1127683511136 is an abundant number, since it is smaller than the sum of its proper divisors (3308126772384).

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

1127683511136 is a wasteful number, since it uses less digits than its factorization.

1127683511136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8192 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 1127683511136 in words is "one trillion, one hundred twenty-seven billion, six hundred eighty-three million, five hundred eleven thousand, one hundred thirty-six".