127104007680 has 1120 divisors, whose sum is σ = 510944797440. Its totient is φ = 30277877760.

The previous prime is 127104007663. The next prime is 127104007727. The reversal of 127104007680 is 86700401721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4100129265 + ... + 4100129295.

It is an arithmetic number, because the mean of its divisors is an integer number (456200712).

Almost surely, 2^127104007680 is an apocalyptic number.

127104007680 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 127104007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255472398720).

127104007680 is an abundant number, since it is smaller than the sum of its proper divisors (383840789760).

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

127104007680 is an frugal number, since it uses more digits than its factorization.

127104007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 127104007680 in words is "one hundred twenty-seven billion, one hundred four million, seven thousand, six hundred eighty".