1127329545680 has 40 divisors (see below), whose sum is σ = 2822659749672. Its totient is φ = 416244754944.

The previous prime is 1127329545649. The next prime is 1127329545733. The reversal of 1127329545680 is 865459237211.

It can be written as a sum of positive squares in 4 ways, for example, as 3678665104 + 1123650880576 = 60652^2 + 1060024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541984319 + ... + 541986398.

It is a 1-persistent number, because it is pandigital, but 2⋅1127329545680 = 2254659091360 is not.

Almost surely, 2^{1127329545680} is an apocalyptic number.

1127329545680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1127329545680 is an abundant number, since it is smaller than the sum of its proper divisors (1695330203992).

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

1127329545680 is a wasteful number, since it uses less digits than its factorization.

1127329545680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083970743 (or 1083970737 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 1127329545680 in words is "one trillion, one hundred twenty-seven billion, three hundred twenty-nine million, five hundred forty-five thousand, six hundred eighty".