127940577666720 has 864 divisors, whose sum is σ = 508899499694208. Its totient is φ = 26780472004608.

The previous prime is 127940577666683. The next prime is 127940577666791. The reversal of 127940577666720 is 27666775049721.

127940577666720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 4931590069 + ... + 4931616011.

It is an arithmetic number, because the mean of its divisors is an integer number (589004050572).

Almost surely, 2^{127940577666720} is an apocalyptic number.

127940577666720 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 127940577666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254449749847104).

127940577666720 is an abundant number, since it is smaller than the sum of its proper divisors (380958922027488).

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

127940577666720 is a wasteful number, since it uses less digits than its factorization.

127940577666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26242 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 69.

The spelling of 127940577666720 in words is "one hundred twenty-seven trillion, nine hundred forty billion, five hundred seventy-seven million, six hundred sixty-six thousand, seven hundred twenty".