127721359872 has 360 divisors, whose sum is σ = 386706779316. Its totient is φ = 42138206208.

The previous prime is 127721359853. The next prime is 127721359889. The reversal of 127721359872 is 278953127721.

127721359872 is a `hidden beast` number, since 1 + 27 + 7 + 21 + 3 + 598 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123352678656 + 4368681216 = 351216^2 + 66096^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2963520) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648331678 + ... + 648331874.

Almost surely, 2^127721359872 is an apocalyptic number.

127721359872 is a gapful number since it is divisible by the number (12) 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 127721359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193353389658).

127721359872 is an abundant number, since it is smaller than the sum of its proper divisors (258985419444).

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

127721359872 is an frugal number, since it uses more digits than its factorization.

127721359872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 395 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 127721359872 in words is "one hundred twenty-seven billion, seven hundred twenty-one million, three hundred fifty-nine thousand, eight hundred seventy-two".