127517363575364 has 384 divisors, whose sum is σ = 278950222172160. Its totient is φ = 49855427241984.

The previous prime is 127517363575307. The next prime is 127517363575403. The reversal of 127517363575364 is 463575363715721.

It is a self number, because there is not a number n which added to its sum of digits gives 127517363575364.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44947958954 + ... + 44947961790.

It is an arithmetic number, because the mean of its divisors is an integer number (726432870240).

Almost surely, 2^{127517363575364} is an apocalyptic number.

127517363575364 is a gapful number since it is divisible by the number (14) 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 127517363575364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139475111086080).

127517363575364 is an abundant number, since it is smaller than the sum of its proper divisors (151432858596796).

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

127517363575364 is a wasteful number, since it uses less digits than its factorization.

127517363575364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3305 counting only the distinct ones).

The product of its digits is 333396000, while the sum is 65.

The spelling of 127517363575364 in words is "one hundred twenty-seven trillion, five hundred seventeen billion, three hundred sixty-three million, five hundred seventy-five thousand, three hundred sixty-four".