127689296761 has 12 divisors (see below), whose sum is σ = 138350258220. Its totient is φ = 117796161600.

The previous prime is 127689296741. The next prime is 127689296767. The reversal of 127689296761 is 167692986721.

It can be written as a sum of positive squares in 6 ways, for example, as 7015737600 + 120673559161 = 83760^2 + 347381^2 .

It is not a de Polignac number, because 127689296761 - 2¹¹ = 127689294713 is a prime.

It is a super-2 number, since 2×127689296761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127689296693 and 127689296702.

It is not an unprimeable number, because it can be changed into a prime (127689296767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55711 + ... + 508411.

It is an arithmetic number, because the mean of its divisors is an integer number (11529188185).

Almost surely, 2^127689296761 is an apocalyptic number.

It is an amenable number.

127689296761 is a deficient number, since it is larger than the sum of its proper divisors (10660961459).

127689296761 is a wasteful number, since it uses less digits than its factorization.

127689296761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454396 (or 454383 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 64.

It can be divided in two parts, 1276892 and 96761, that added together give a triangular number (1373653 = T₁₆₅₇).

The spelling of 127689296761 in words is "one hundred twenty-seven billion, six hundred eighty-nine million, two hundred ninety-six thousand, seven hundred sixty-one".