127927161720 has 192 divisors, whose sum is σ = 440704761120. Its totient is φ = 32071852032.

The previous prime is 127927161701. The next prime is 127927161751. The reversal of 127927161720 is 27161729721.

127927161720 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 2 + 7 + 1 + 617 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5784604 + ... + 5806676.

Almost surely, 2^127927161720 is an apocalyptic number.

127927161720 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 127927161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220352380560).

127927161720 is an abundant number, since it is smaller than the sum of its proper divisors (312777599400).

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

127927161720 is a wasteful number, since it uses less digits than its factorization.

127927161720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23047 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 127927161720 in words is "one hundred twenty-seven billion, nine hundred twenty-seven million, one hundred sixty-one thousand, seven hundred twenty".