127076326965 has 48 divisors (see below), whose sum is σ = 264981225600. Its totient is φ = 55034557056.

The previous prime is 127076326963. The next prime is 127076326967. The reversal of 127076326965 is 569623670721.

It is an interprime number because it is at equal distance from previous prime (127076326963) and next prime (127076326967).

It is not a de Polignac number, because 127076326965 - 2¹ = 127076326963 is a prime.

It is a super-3 number, since 3×127076326965³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127076326963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10610250 + ... + 10622219.

It is an arithmetic number, because the mean of its divisors is an integer number (5520442200).

Almost surely, 2^127076326965 is an apocalyptic number.

127076326965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127076326965 is an abundant number, since it is smaller than the sum of its proper divisors (137904898635).

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

127076326965 is a wasteful number, since it uses less digits than its factorization.

127076326965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21232506 (or 21232503 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 127076326965 in words is "one hundred twenty-seven billion, seventy-six million, three hundred twenty-six thousand, nine hundred sixty-five".