127639145088 has 768 divisors, whose sum is σ = 484989926400. Its totient is φ = 32732356608.

The previous prime is 127639145069. The next prime is 127639145093. The reversal of 127639145088 is 880541936721.

127639145088 is a `hidden beast` number, since 1 + 27 + 6 + 3 + 91 + 450 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 81453681 + ... + 81455247.

It is an arithmetic number, because the mean of its divisors is an integer number (631497300).

It is a 1-persistent number, because it is pandigital, but 2⋅127639145088 = 255278290176 is not.

Almost surely, 2^127639145088 is an apocalyptic number.

127639145088 is a gapful number since it is divisible by the number (18) 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 127639145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242494963200).

127639145088 is an abundant number, since it is smaller than the sum of its proper divisors (357350781312).

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

127639145088 is a wasteful number, since it uses less digits than its factorization.

127639145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 127639145088 in words is "one hundred twenty-seven billion, six hundred thirty-nine million, one hundred forty-five thousand, eighty-eight".