127166487777760 has 192 divisors, whose sum is σ = 306638974107648. Its totient is φ = 49818939848704.

The previous prime is 127166487777631. The next prime is 127166487777773. The reversal of 127166487777760 is 67777784661721.

It is a super-2 number, since 2×127166487777760² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15097524909 + ... + 15097533331.

It is an arithmetic number, because the mean of its divisors is an integer number (1597077990144).

Almost surely, 2^{127166487777760} is an apocalyptic number.

127166487777760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127166487777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153319487053824).

127166487777760 is an abundant number, since it is smaller than the sum of its proper divisors (179472486329888).

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

127166487777760 is a wasteful number, since it uses less digits than its factorization.

127166487777760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11417 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 1626379776, while the sum is 76.

The spelling of 127166487777760 in words is "one hundred twenty-seven trillion, one hundred sixty-six billion, four hundred eighty-seven million, seven hundred seventy-seven thousand, seven hundred sixty".