1127382688801 has 16 divisors (see below), whose sum is σ = 1199101204224. Its totient is φ = 1056265507584.

The previous prime is 1127382688727. The next prime is 1127382688819. The reversal of 1127382688801 is 1088862837211.

It is not a de Polignac number, because 1127382688801 - 2¹¹ = 1127382686753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1127382688001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53641171 + ... + 53662183.

It is an arithmetic number, because the mean of its divisors is an integer number (74943825264).

Almost surely, 2^{1127382688801} is an apocalyptic number.

It is an amenable number.

1127382688801 is a deficient number, since it is larger than the sum of its proper divisors (71718515423).

1127382688801 is a wasteful number, since it uses less digits than its factorization.

1127382688801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35160.

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 1127382688801 in words is "one trillion, one hundred twenty-seven billion, three hundred eighty-two million, six hundred eighty-eight thousand, eight hundred one".