127805511361 has 16 divisors (see below), whose sum is σ = 144161450496. Its totient is φ = 112251600000.

The previous prime is 127805511347. The next prime is 127805511367. The reversal of 127805511361 is 163115508721.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127805511361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127805511367) 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, 106870 + ... + 516751.

It is an arithmetic number, because the mean of its divisors is an integer number (9010090656).

Almost surely, 2^127805511361 is an apocalyptic number.

127805511361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127805511361 is a deficient number, since it is larger than the sum of its proper divisors (16355939135).

127805511361 is a wasteful number, since it uses less digits than its factorization.

127805511361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624264.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 127805511361 in words is "one hundred twenty-seven billion, eight hundred five million, five hundred eleven thousand, three hundred sixty-one".