127055288628 has 36 divisors (see below), whose sum is σ = 324169110720. Its totient is φ = 41955950736.

The previous prime is 127055288623. The next prime is 127055288651. The reversal of 127055288628 is 826882550721.

127055288628 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 5 + 2 + 8 + 8 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×127055288628² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127055288623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16488268 + ... + 16495971.

It is an arithmetic number, because the mean of its divisors is an integer number (9004697520).

Almost surely, 2^127055288628 is an apocalyptic number.

127055288628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127055288628 is an abundant number, since it is smaller than the sum of its proper divisors (197113822092).

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

127055288628 is a wasteful number, since it uses less digits than its factorization.

127055288628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984356 (or 32984351 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 127055288628 in words is "one hundred twenty-seven billion, fifty-five million, two hundred eighty-eight thousand, six hundred twenty-eight".