1127130694560 has 336 divisors, whose sum is σ = 4299559816104. Its totient is φ = 277447182336.

The previous prime is 1127130694541. The next prime is 1127130694577. The reversal of 1127130694560 is 654960317211.

1127130694560 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 130 + 69 + 456 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1037440028304 + 89690666256 = 1018548^2 + 299484^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1144654 + ... + 1887986.

Almost surely, 2^{1127130694560} is an apocalyptic number.

1127130694560 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 1127130694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149779908052).

1127130694560 is an abundant number, since it is smaller than the sum of its proper divisors (3172429121544).

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

1127130694560 is an equidigital number, since it uses as much as digits as its factorization.

1127130694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743379 (or 743356 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1127130694560 in words is "one trillion, one hundred twenty-seven billion, one hundred thirty million, six hundred ninety-four thousand, five hundred sixty".