127864577067040 has 384 divisors, whose sum is σ = 339485315678208. Its totient is φ = 45111932743680.

The previous prime is 127864577067037. The next prime is 127864577067041. The reversal of 127864577067040 is 40760775468721.

It is a super-2 number, since 2×127864577067040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127864577067041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5352881977 + ... + 5352905863.

It is an arithmetic number, because the mean of its divisors is an integer number (884076342912).

Almost surely, 2^{127864577067040} is an apocalyptic number.

127864577067040 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 127864577067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169742657839104).

127864577067040 is an abundant number, since it is smaller than the sum of its proper divisors (211620738611168).

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

127864577067040 is a wasteful number, since it uses less digits than its factorization.

127864577067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520 (or 24512 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 64.

The spelling of 127864577067040 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, five hundred seventy-seven million, sixty-seven thousand, forty".