127249536960 has 1008 divisors, whose sum is σ = 573772320576. Its totient is φ = 25268944896.

The previous prime is 127249536959. The next prime is 127249536989. The reversal of 127249536960 is 69635942721.

127249536960 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 49 + 536 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 127249536897 and 127249536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7485266872 + ... + 7485266888.

It is an arithmetic number, because the mean of its divisors is an integer number (569218572).

Almost surely, 2^127249536960 is an apocalyptic number.

127249536960 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 127249536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286886160288).

127249536960 is an abundant number, since it is smaller than the sum of its proper divisors (446522783616).

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

127249536960 is an frugal number, since it uses more digits than its factorization.

127249536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 127249536960 in words is "one hundred twenty-seven billion, two hundred forty-nine million, five hundred thirty-six thousand, nine hundred sixty".