127062768020 has 48 divisors (see below), whose sum is σ = 269041324608. Its totient is φ = 50404972800.

The previous prime is 127062767929. The next prime is 127062768029. The reversal of 127062768020 is 20867260721.

It is a super-3 number, since 3×127062768020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127062768029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857679 + ... + 2901801.

It is an arithmetic number, because the mean of its divisors is an integer number (5605027596).

Almost surely, 2^127062768020 is an apocalyptic number.

127062768020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127062768020 is an abundant number, since it is smaller than the sum of its proper divisors (141978556588).

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

127062768020 is a wasteful number, since it uses less digits than its factorization.

127062768020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45320 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 127062768020 in words is "one hundred twenty-seven billion, sixty-two million, seven hundred sixty-eight thousand, twenty".