127111357107680 has 384 divisors, whose sum is σ = 348125190336000. Its totient is φ = 43373020078080.

The previous prime is 127111357107659. The next prime is 127111357107689. The reversal of 127111357107680 is 86701753111721.

It is a super-2 number, since 2×127111357107680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127111357107689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19088652191 + ... + 19088658849.

It is an arithmetic number, because the mean of its divisors is an integer number (906576016500).

Almost surely, 2^{127111357107680} is an apocalyptic number.

127111357107680 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 127111357107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174062595168000).

127111357107680 is an abundant number, since it is smaller than the sum of its proper divisors (221013833228320).

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

127111357107680 is a wasteful number, since it uses less digits than its factorization.

127111357107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12050 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 50.

The spelling of 127111357107680 in words is "one hundred twenty-seven trillion, one hundred eleven billion, three hundred fifty-seven million, one hundred seven thousand, six hundred eighty".