127929027712640 has 1536 divisors, whose sum is σ = 418581209088000. Its totient is φ = 36485465702400.

The previous prime is 127929027712621. The next prime is 127929027712657. The reversal of 127929027712640 is 46217720929721.

It is a happy number.

It is a super-2 number, since 2×127929027712640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127929027712640.

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 191 ways as a sum of consecutive naturals, for example, 34398768701 + ... + 34398772419.

It is an arithmetic number, because the mean of its divisors is an integer number (272513808000).

Almost surely, 2^{127929027712640} is an apocalyptic number.

127929027712640 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 127929027712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209290604544000).

127929027712640 is an abundant number, since it is smaller than the sum of its proper divisors (290652181375360).

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

127929027712640 is a wasteful number, since it uses less digits than its factorization.

127929027712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 127929027712640 in words is "one hundred twenty-seven trillion, nine hundred twenty-nine billion, twenty-seven million, seven hundred twelve thousand, six hundred forty".