127890416917 has 8 divisors (see below), whose sum is σ = 135840559896. Its totient is φ = 119987738112.

The previous prime is 127890416897. The next prime is 127890416921. The reversal of 127890416917 is 719614098721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6220036 + 127884196881 = 2494^2 + 357609^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127890416917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127890416977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11860488 + ... + 11871265.

It is an arithmetic number, because the mean of its divisors is an integer number (16980069987).

Almost surely, 2^127890416917 is an apocalyptic number.

127890416917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

127890416917 is a deficient number, since it is larger than the sum of its proper divisors (7950142979).

127890416917 is a wasteful number, since it uses less digits than its factorization.

127890416917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23732087.

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 127890416917 in words is "one hundred twenty-seven billion, eight hundred ninety million, four hundred sixteen thousand, nine hundred seventeen".